2258514901888 has 128 divisors (see below), whose sum is σ = 5170704768000. Its totient is φ = 962574243840.

The previous prime is 2258514901879. The next prime is 2258514901939. The reversal of 2258514901888 is 8881094158522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135240163 + ... + 135256861.

It is an arithmetic number, because the mean of its divisors is an integer number (40396131000).

Almost surely, 2^{2258514901888} is an apocalyptic number.

2258514901888 is a gapful number since it is divisible by the number (28) 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 2258514901888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585352384000).

2258514901888 is an abundant number, since it is smaller than the sum of its proper divisors (2912189866112).

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

2258514901888 is a wasteful number, since it uses less digits than its factorization.

2258514901888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17548 (or 17536 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 61.

The spelling of 2258514901888 in words is "two trillion, two hundred fifty-eight billion, five hundred fourteen million, nine hundred one thousand, eight hundred eighty-eight".