2558459904 has 408 divisors, whose sum is σ = 9210621312. Its totient is φ = 613416960.

The previous prime is 2558459851. The next prime is 2558459909. The reversal of 2558459904 is 4099548552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558459909) 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, 196804602 + ... + 196804614.

Almost surely, 2^2558459904 is an apocalyptic number.

2558459904 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 2558459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605310656).

2558459904 is an abundant number, since it is smaller than the sum of its proper divisors (6652161408).

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

2558459904 is an equidigital number, since it uses as much as digits as its factorization.

2558459904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The square root of 2558459904 is about 50581.2208630832. The cubic root of 2558459904 is about 1367.7063765703.

The spelling of 2558459904 in words is "two billion, five hundred fifty-eight million, four hundred fifty-nine thousand, nine hundred four".