2258004864 has 64 divisors (see below), whose sum is σ = 6023805840. Its totient is φ = 749408256.

The previous prime is 2258004857. The next prime is 2258004887. The reversal of 2258004864 is 4684008522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76854 + ... + 102090.

Almost surely, 2^2258004864 is an apocalyptic number.

2258004864 is a gapful number since it is divisible by the number (24) 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 2258004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011902920).

2258004864 is an abundant number, since it is smaller than the sum of its proper divisors (3765800976).

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

2258004864 is a wasteful number, since it uses less digits than its factorization.

2258004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25487 (or 25475 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2258004864 is about 47518.4686621949. The cubic root of 2258004864 is about 1311.9228340497.

The spelling of 2258004864 in words is "two billion, two hundred fifty-eight million, four thousand, eight hundred sixty-four".