2258027089920 has 832 divisors, whose sum is σ = 9228439296000. Its totient is φ = 513079640064.

The previous prime is 2258027089897. The next prime is 2258027089937. The reversal of 2258027089920 is 299807208522.

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 63 ways as a sum of consecutive naturals, for example, 692857251 + ... + 692860509.

Almost surely, 2^{2258027089920} is an apocalyptic number.

2258027089920 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 2258027089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614219648000).

2258027089920 is an abundant number, since it is smaller than the sum of its proper divisors (6970412206080).

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

2258027089920 is a wasteful number, since it uses less digits than its factorization.

2258027089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2258027089920 in words is "two trillion, two hundred fifty-eight billion, twenty-seven million, eighty-nine thousand, nine hundred twenty".