2056371280128 has 648 divisors, whose sum is σ = 6784675608480. Its totient is φ = 613872230400.

The previous prime is 2056371280097. The next prime is 2056371280231. The reversal of 2056371280128 is 8210821736502.

2056371280128 is a `hidden beast` number, since 2 + 0 + 5 + 637 + 1 + 2 + 8 + 0 + 1 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15010009276 + ... + 15010009412.

Almost surely, 2^{2056371280128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056371280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392337804240).

2056371280128 is an abundant number, since it is smaller than the sum of its proper divisors (4728304328352).

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

2056371280128 is a wasteful number, since it uses less digits than its factorization.

2056371280128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2056371280128 in words is "two trillion, fifty-six billion, three hundred seventy-one million, two hundred eighty thousand, one hundred twenty-eight".