2120314576900 has 243 divisors, whose sum is σ = 5218991211231. Its totient is φ = 747309214080.

The previous prime is 2120314576883. The next prime is 2120314576937. The reversal of 2120314576900 is 96754130212.

It is a happy number.

The square root of 2120314576900 is 1456130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 546514218756 + 1573800358144 = 739266^2 + 1254512^2 .

It is a super-2 number, since 2×2120314576900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4353828457 + ... + 4353828943.

Almost surely, 2^{2120314576900} is an apocalyptic number.

2120314576900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2120314576900 is the 1456130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120314576900

2120314576900 is an abundant number, since it is smaller than the sum of its proper divisors (3098676634331).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120314576900 is a wasteful number, since it uses less digits than its factorization.

2120314576900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 2120314576900 in words is "two trillion, one hundred twenty billion, three hundred fourteen million, five hundred seventy-six thousand, nine hundred".