2423656904256 has 560 divisors, whose sum is σ = 8484059232000. Its totient is φ = 669801000960.

The previous prime is 2423656904239. The next prime is 2423656904299. The reversal of 2423656904256 is 6524096563242.

2423656904256 is a `hidden beast` number, since 2 + 4 + 2 + 36 + 569 + 0 + 42 + 5 + 6 = 666.

It is a super-2 number, since 2×2423656904256² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136542870 + ... + 136560618.

Almost surely, 2^{2423656904256} 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 2423656904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242029616000).

2423656904256 is an abundant number, since it is smaller than the sum of its proper divisors (6060402327744).

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

2423656904256 is a wasteful number, since it uses less digits than its factorization.

2423656904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17904 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 2423656904256 in words is "two trillion, four hundred twenty-three billion, six hundred fifty-six million, nine hundred four thousand, two hundred fifty-six".