2558400 has 168 divisors, whose sum is σ = 9259824. Its totient is φ = 614400.

The previous prime is 2558377. The next prime is 2558411. The reversal of 2558400 is 48552.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 62380 + ... + 62420.

It is an arithmetic number, because the mean of its divisors is an integer number (55118).

2^2558400 is an apocalyptic number.

2558400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1599×1600.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629912).

2558400 is an abundant number, since it is smaller than the sum of its proper divisors (6701424).

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

2558400 is a wasteful number, since it uses less digits than its factorization.

2558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2558400 is about 1599.4999218506. The cubic root of 2558400 is about 136.7695701955.

Adding to 2558400 its product of nonzero digits (1600), we get a 4-th power (2560000 = 40⁴).

The spelling of 2558400 in words is "two million, five hundred fifty-eight thousand, four hundred".