2258641920 has 88 divisors (see below), whose sum is σ = 7224174144. Its totient is φ = 602300416.

The previous prime is 2258641919. The next prime is 2258641933. The reversal of 2258641920 is 291468522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58164 + ... + 88883.

It is an arithmetic number, because the mean of its divisors is an integer number (82092888).

Almost surely, 2^2258641920 is an apocalyptic number.

2258641920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258641920 is an abundant number, since it is smaller than the sum of its proper divisors (4965532224).

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

2258641920 is a wasteful number, since it uses less digits than its factorization.

2258641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147075 (or 147057 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2258641920 is about 47525.1714357771. The cubic root of 2258641920 is about 1312.0462010302.

The spelling of 2258641920 in words is "two billion, two hundred fifty-eight million, six hundred forty-one thousand, nine hundred twenty".