2258604000 has 240 divisors, whose sum is σ = 8291018736. Its totient is φ = 602208000.

The previous prime is 2258603999. The next prime is 2258604011. The reversal of 2258604000 is 4068522.

2258604000 is a `hidden beast` number, since 2 + 2 + 58 + 604 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320515 + ... + 327485.

Almost surely, 2^2258604000 is an apocalyptic number.

2258604000 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 2258604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145509368).

2258604000 is an abundant number, since it is smaller than the sum of its proper divisors (6032414736).

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

2258604000 is an equidigital number, since it uses as much as digits as its factorization.

2258604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2258604000 is about 47524.7724876195. The cubic root of 2258604000 is about 1312.0388584069.

The spelling of 2258604000 in words is "two billion, two hundred fifty-eight million, six hundred four thousand".