2256325122400 has 72 divisors (see below), whose sum is σ = 5832268664040. Its totient is φ = 849440040960.

The previous prime is 2256325122361. The next prime is 2256325122449. The reversal of 2256325122400 is 42215236522.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82939530 + ... + 82966729.

It is an arithmetic number, because the mean of its divisors is an integer number (81003731445).

Almost surely, 2^{2256325122400} is an apocalyptic number.

2256325122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256325122400 is an abundant number, since it is smaller than the sum of its proper divisors (3575943541640).

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

2256325122400 is a wasteful number, since it uses less digits than its factorization.

2256325122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165906296 (or 165906283 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 2256325122400 in words is "two trillion, two hundred fifty-six billion, three hundred twenty-five million, one hundred twenty-two thousand, four hundred".