2258414831520 has 192 divisors, whose sum is σ = 7905160448640. Its totient is φ = 602189973504.

The previous prime is 2258414831359. The next prime is 2258414831521. The reversal of 2258414831520 is 251384148522.

2258414831520 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 41 + 4 + 83 + 1 + 520 = 666.

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 (2258414831521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79097887 + ... + 79126433.

It is an arithmetic number, because the mean of its divisors is an integer number (41172710670).

Almost surely, 2^{2258414831520} is an apocalyptic number.

2258414831520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258414831520 is an abundant number, since it is smaller than the sum of its proper divisors (5646745617120).

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

2258414831520 is a wasteful number, since it uses less digits than its factorization.

2258414831520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46884 (or 46870 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2258414831520 in words is "two trillion, two hundred fifty-eight billion, four hundred fourteen million, eight hundred thirty-one thousand, five hundred twenty".