2256508800000 has 3168 divisors, whose sum is σ = 10719197052480. Its totient is φ = 464486400000.

The previous prime is 2256508799989. The next prime is 2256508800011. The reversal of 2256508800000 is 88056522.

2256508800000 is a `hidden beast` number, since 22 + 56 + 508 + 80 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2256508799989) and next prime (2256508800011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55036799980 + ... + 55036800020.

Almost surely, 2^{2256508800000} is an apocalyptic number.

2256508800000 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 2256508800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359598526240).

2256508800000 is an abundant number, since it is smaller than the sum of its proper divisors (8462688252480).

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

2256508800000 is an equidigital number, since it uses as much as digits as its factorization.

2256508800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2256508800000 in words is "two trillion, two hundred fifty-six billion, five hundred eight million, eight hundred thousand".