2558304 has 144 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 715392.

The previous prime is 2558287. The next prime is 2558317. The reversal of 2558304 is 4038552.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54409 + ... + 54455.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

2^2558304 is an apocalyptic number.

2558304 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 2558304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2558304 is an abundant number, since it is smaller than the sum of its proper divisors (6247584).

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

2558304 is an equidigital number, since it uses as much as digits as its factorization.

2558304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2558304 is about 1599.4699121897. The cubic root of 2558304 is about 136.7678594853.

The spelling of 2558304 in words is "two million, five hundred fifty-eight thousand, three hundred four".