2258859121920 has 288 divisors, whose sum is σ = 8018772249600. Its totient is φ = 602140041216.

The previous prime is 2258859121879. The next prime is 2258859121993. The reversal of 2258859121920 is 291219588522.

2258859121920 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 8 + 591 + 21 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107436529 + ... + 107457551.

It is an arithmetic number, because the mean of its divisors is an integer number (27842959200).

Almost surely, 2^{2258859121920} is an apocalyptic number.

2258859121920 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 2258859121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009386124800).

2258859121920 is an abundant number, since it is smaller than the sum of its proper divisors (5759913127680).

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

2258859121920 is a wasteful number, since it uses less digits than its factorization.

2258859121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24162 (or 24142 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 2258859121920 in words is "two trillion, two hundred fifty-eight billion, eight hundred fifty-nine million, one hundred twenty-one thousand, nine hundred twenty".