2258161920 has 432 divisors, whose sum is σ = 9160324992. Its totient is φ = 502824960.

The previous prime is 2258161883. The next prime is 2258161931. The reversal of 2258161920 is 291618522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3305899 + ... + 3306581.

It is an arithmetic number, because the mean of its divisors is an integer number (21204456).

Almost surely, 2^2258161920 is an apocalyptic number.

2258161920 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 2258161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580162496).

2258161920 is an abundant number, since it is smaller than the sum of its proper divisors (6902163072).

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

2258161920 is a wasteful number, since it uses less digits than its factorization.

2258161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2258161920 is about 47520.1212119666. The cubic root of 2258161920 is about 1311.9532503667.

The spelling of 2258161920 in words is "two billion, two hundred fifty-eight million, one hundred sixty-one thousand, nine hundred twenty".