2556417023964 has 144 divisors (see below), whose sum is σ = 6561418500000. Its totient is φ = 839109353472.

The previous prime is 2556417023947. The next prime is 2556417023987. The reversal of 2556417023964 is 4693207146552.

It is a happy number.

2556417023964 is a `hidden beast` number, since 2 + 5 + 564 + 1 + 70 + 2 + 3 + 9 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2556417023964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2046770412 + ... + 2046771660.

It is an arithmetic number, because the mean of its divisors is an integer number (45565406250).

Almost surely, 2^{2556417023964} 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 2556417023964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280709250000).

2556417023964 is an abundant number, since it is smaller than the sum of its proper divisors (4005001476036).

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

2556417023964 is a wasteful number, since it uses less digits than its factorization.

2556417023964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2556417023964 in words is "two trillion, five hundred fifty-six billion, four hundred seventeen million, twenty-three thousand, nine hundred sixty-four".