2056004214264 has 256 divisors, whose sum is σ = 7668081792000. Its totient is φ = 492948011520.

The previous prime is 2056004214211. The next prime is 2056004214289. The reversal of 2056004214264 is 4624124006502.

2056004214264 is a `hidden beast` number, since 2 + 0 + 5 + 600 + 4 + 2 + 1 + 42 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4538299 + ... + 4970730.

It is an arithmetic number, because the mean of its divisors is an integer number (29953444500).

Almost surely, 2^{2056004214264} is an apocalyptic number.

2056004214264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2056004214264 is an abundant number, since it is smaller than the sum of its proper divisors (5612077577736).

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

2056004214264 is a wasteful number, since it uses less digits than its factorization.

2056004214264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9509075 (or 9509065 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2056004214264 in words is "two trillion, fifty-six billion, four million, two hundred fourteen thousand, two hundred sixty-four".