2056097888100 has 81 divisors (see below), whose sum is σ = 6444859440747. Its totient is φ = 548281298880.

The previous prime is 2056097888087. The next prime is 2056097888147. The reversal of 2056097888100 is 18887906502.

The square root of 2056097888100 is 1433910.

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

2056097888100 is a `hidden beast` number, since 2 + 0 + 560 + 9 + 78 + 8 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55525267044 + 2000572621056 = 235638^2 + 1414416^2 .

It is a super-2 number, since 2×2056097888100² (a number of 25 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, 42993402 + ... + 43041198.

Almost surely, 2^{2056097888100} is an apocalyptic number.

2056097888100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2056097888100 is the 1433910-th square number.

It is an amenable number.

2056097888100 is an abundant number, since it is smaller than the sum of its proper divisors (4388761552647).

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

2056097888100 is an frugal number, since it uses more digits than its factorization.

2056097888100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95614 (or 47807 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 2056097888100 in words is "two trillion, fifty-six billion, ninety-seven million, eight hundred eighty-eight thousand, one hundred".