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How heavy is 2,000 grams?

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It's about 0.000000006 times as heavy as The Empire State Building.
In other words, 2,000 grams is 0.000000006040 times the weight of The Empire State Building, and the weight of The Empire State Building is 166,000,000 times that amount.
(New York City, New York)
The Empire State Building weighs approximately 331,000,000,000 grams. About 4% of the building's weight is its 6,000 cu. m (200,000 cu. ft) of limestone façade.
It's about 0.000000003 times as heavy as The Golden Gate Bridge.
In other words, 2,000 grams is 0.000000002480 times the weight of The Golden Gate Bridge, and the weight of The Golden Gate Bridge is 403,000,000 times that amount.
(San Francisco, California and Marin County, California) (Post 1986 weight reduction; total weight of bridge, anchorage, and approaches)
Following the completion of the 1986 project to eliminate excess material, the total weight of the Golden Gate Bridge — including its anchorages and approaches — is 805,000,000,000 grams. The two main cables in the spanning the bridge are spun out of a total of 129,000 km (80,200 mi) of wire.
It's about 0.0000000004 times as heavy as The Great Pyramid of Giza.
In other words, 2,000 grams is 0.000000000340 times the weight of The Great Pyramid of Giza, and the weight of The Great Pyramid of Giza is 2,900,000,000 times that amount.
(a.k.a. Pyramid of Khufu, a.k.a. Pyramid of Cheops) (Cairo, Egypt)
The Great Pyramid of Giza has an estimated mass of 5,900,000,000,000 grams. The 2,300,000 stones used in the construction of the pyramid weighed an average 2,300,000 grams and were quarried from distances of up to 805 km (500 mi) away.
It's about 0.0000000000000000000000000000010 times as heavy as The Sun.
In other words, 2,000 grams is 0.000000000000000000000000000001000 times the weight of The Sun, and the weight of The Sun is 999,999,999,999,999,879,147,136,483,328.000000000000000000000000000000000 times that amount.
The sun has a mass of 1,999,999,999,999,999,789,693,369,568,683,098,112.000000000000000000000000000000000000000 grams which represents 99.9% of the solar system's total mass. 98.7% of the sun's mass consists of hydrogen and helium — respectively the lightest and second-lightest elements in the universe.
It's about 0.0000000000000000000000004 times as heavy as The Earth.
In other words, 2,000 grams is 0.000000000000000000000000334810 times the weight of The Earth, and the weight of The Earth is 2,986,799,999,999,999,752,536,064.000000000000000000000000000000 times that amount.
The mass of the planet Earth is 5,973,599,999,999,999,865,849,380,864.000000000000000000000000000000000 grams. The element iron makes up about 32% of that mass, or 1,917,499,999,999,999,839,249,104,896.000000000000000000000000000000000 grams.