2258604720 has 120 divisors (see below), whose sum is σ = 7770252672. Its totient is φ = 587596800.

The previous prime is 2258604701. The next prime is 2258604721. The reversal of 2258604720 is 274068522.

2258604720 is a `hidden beast` number, since 2 + 2 + 586 + 0 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (2258604721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8736 + ... + 67775.

Almost surely, 2^2258604720 is an apocalyptic number.

2258604720 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 2258604720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885126336).

2258604720 is an abundant number, since it is smaller than the sum of its proper divisors (5511647952).

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

2258604720 is a wasteful number, since it uses less digits than its factorization.

2258604720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76571 (or 76562 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2258604720 is about 47524.7800626158. The cubic root of 2258604720 is about 1312.0389978246.

The spelling of 2258604720 in words is "two billion, two hundred fifty-eight million, six hundred four thousand, seven hundred twenty".