2256524265600 has 384 divisors, whose sum is σ = 9009005976000. Its totient is φ = 547035955200.

The previous prime is 2256524265599. The next prime is 2256524265601. The reversal of 2256524265600 is 65624256522.

2256524265600 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 524 + 2 + 65 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2256524265599) and next prime (2256524265601).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2256524265600² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2256524265601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236745 + ... + 2137544.

Almost surely, 2^{2256524265600} is an apocalyptic number.

2256524265600 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 2256524265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504502988000).

2256524265600 is an abundant number, since it is smaller than the sum of its proper divisors (6752481710400).

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

2256524265600 is a wasteful number, since it uses less digits than its factorization.

2256524265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374333 (or 2374310 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2256524265600 in words is "two trillion, two hundred fifty-six billion, five hundred twenty-four million, two hundred sixty-five thousand, six hundred".