2556680765184 has 1440 divisors, whose sum is σ = 10221406272000. Its totient is φ = 616522088448.

The previous prime is 2556680765147. The next prime is 2556680765231. The reversal of 2556680765184 is 4815670866552.

2556680765184 is a `hidden beast` number, since 2 + 5 + 56 + 68 + 0 + 7 + 6 + 518 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1039722547 + ... + 1039725005.

It is an arithmetic number, because the mean of its divisors is an integer number (7098198800).

Almost surely, 2^{2556680765184} is an apocalyptic number.

2556680765184 is a gapful number since it is divisible by the number (24) 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 2556680765184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110703136000).

2556680765184 is an abundant number, since it is smaller than the sum of its proper divisors (7664725506816).

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

2556680765184 is a wasteful number, since it uses less digits than its factorization.

2556680765184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 2556680765184 in words is "two trillion, five hundred fifty-six billion, six hundred eighty million, seven hundred sixty-five thousand, one hundred eighty-four".