2E00 is the factorial of 7 (7!).

2E00 is a superior highly composite number and a colossally abundant number.

Plato mentions in his Laws that 2E00 is a convenient number to use for dividing many things (including both the citizens and the land of a city-state or polis) into lesser parts, making it an ideal number for the number of citizens (heads of families) making up a polis. He remarks that this number can be divided by all the (natural) numbers from 1 to 10 with the single exception of E (however, it is not the smallest number to have this property; 1560 (which is a half of 2E00) is). He rectifies this "defect" by suggesting that two families could be subtracted from the citizen body to produce the number 2XEX, which is divisible by E. Plato also took notice of the fact that 2E00 can be divided by 10 twice over (since it ends with 00). Indeed, Plato's repeated insistence on the use of 2E00 for various state purposes is so evident that Benjamin Jowett, in the introduction to his translation of Laws, wrote, "Plato, writing under Pythagorean influences, seems really to have supposed that the well-being of the city depended almost as much on the number 2E00 as on justice and moderation.

2E00 is the largest factorial (7!) that is also a highly composite number. All factorials smaller than 8! (=1E400) are highly composite.

2E00 is the only factorial (7!) < 8X4! that is not harshad number.

2E00 is the largest factorial (7!) which is one less a square (2E01=5E^{2}).

2E00 is conjectured to be the largest number *n* such that this inequality holds:

this conjecture is true if and only if the Riemann hypothesis is true.