2258551508000 has 384 divisors, whose sum is σ = 5973033830400. Its totient is φ = 836770176000.

The previous prime is 2258551507991. The next prime is 2258551508051. The reversal of 2258551508000 is 8051558522.

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, 707786405 + ... + 707789595.

It is an arithmetic number, because the mean of its divisors is an integer number (15554775600).

Almost surely, 2^{2258551508000} is an apocalyptic number.

2258551508000 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 2258551508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986516915200).

2258551508000 is an abundant number, since it is smaller than the sum of its proper divisors (3714482322400).

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

2258551508000 is a wasteful number, since it uses less digits than its factorization.

2258551508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 41.

The spelling of 2258551508000 in words is "two trillion, two hundred fifty-eight billion, five hundred fifty-one million, five hundred eight thousand".