2558000400 has 240 divisors, whose sum is σ = 8694205440. Its totient is φ = 641088000.

The previous prime is 2558000399. The next prime is 2558000411. The reversal of 2558000400 is 40008552.

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 (24).

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 47 ways as a sum of consecutive naturals, for example, 3442429 + ... + 3443171.

It is an arithmetic number, because the mean of its divisors is an integer number (36225856).

Almost surely, 2^2558000400 is an apocalyptic number.

2558000400 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 2558000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347102720).

2558000400 is an abundant number, since it is smaller than the sum of its proper divisors (6136205040).

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

2558000400 is a wasteful number, since it uses less digits than its factorization.

2558000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

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

The square root of 2558000400 is about 50576.6784199991. The cubic root of 2558000400 is about 1367.6244908262.

Adding to 2558000400 its reverse (40008552), we get a palindrome (2598008952).

The spelling of 2558000400 in words is "two billion, five hundred fifty-eight million, four hundred", and thus it is an aban number.