2582720400 has 120 divisors (see below), whose sum is σ = 8909776960. Its totient is φ = 635742720.

The previous prime is 2582720383. The next prime is 2582720401. The reversal of 2582720400 is 40272852.

2582720400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582720401) 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, 67180 + ... + 98379.

Almost surely, 2^2582720400 is an apocalyptic number.

2582720400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582720400 is an abundant number, since it is smaller than the sum of its proper divisors (6327056560).

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

2582720400 is a wasteful number, since it uses less digits than its factorization.

2582720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165593 (or 165582 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2582720400 is about 50820.4722528235. The cubic root of 2582720400 is about 1372.0158577217.

The spelling of 2582720400 in words is "two billion, five hundred eighty-two million, seven hundred twenty thousand, four hundred".