2056515056640 has 2816 divisors, whose sum is σ = 9168463872000. Its totient is φ = 430618705920.

The previous prime is 2056515056633. The next prime is 2056515056681. The reversal of 2056515056640 is 466505156502.

2056515056640 is a `hidden beast` number, since 2 + 0 + 56 + 51 + 505 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26031836121 + ... + 26031836199.

Almost surely, 2^{2056515056640} is an apocalyptic number.

2056515056640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056515056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584231936000).

2056515056640 is an abundant number, since it is smaller than the sum of its proper divisors (7111948815360).

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

2056515056640 is a wasteful number, since it uses less digits than its factorization.

2056515056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 2056515056640 in words is "two trillion, fifty-six billion, five hundred fifteen million, fifty-six thousand, six hundred forty".