2987262856900 has 81 divisors (see below), whose sum is σ = 7541010369837. Its totient is φ = 1024162927200.

The previous prime is 2987262856849. The next prime is 2987262856913. The reversal of 2987262856900 is 96582627892.

The square root of 2987262856900 is 1728370.

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

It can be written as a sum of positive squares in only one way, i.e., 1075414628484 + 1911848228416 = 1037022^2 + 1382696^2 .

It is a super-2 number, since 2×2987262856900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120973555 + ... + 120998245.

Almost surely, 2^{2987262856900} is an apocalyptic number.

2987262856900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2987262856900 is the 1728370-th square number.

It is an amenable number.

2987262856900 is an abundant number, since it is smaller than the sum of its proper divisors (4553747512937).

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

2987262856900 is an frugal number, since it uses more digits than its factorization.

2987262856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49410 (or 24705 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

Multiplying 2987262856900 by its sum of digits (64), we get a square (191184822841600 = 13826960²).

The spelling of 2987262856900 in words is "two trillion, nine hundred eighty-seven billion, two hundred sixty-two million, eight hundred fifty-six thousand, nine hundred".