2572518400 has 99 divisors (see below), whose sum is σ = 6396909799. Its totient is φ = 1025761280.

The previous prime is 2572518373. The next prime is 2572518401. The reversal of 2572518400 is 48152752.

It is a happy number.

The square root of 2572518400 is 50720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1038386176 + 1534132224 = 32224^2 + 39168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2572518401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8115042 + ... + 8115358.

Almost surely, 2^2572518400 is an apocalyptic number.

2572518400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2572518400 is the 50720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2572518400

2572518400 is an abundant number, since it is smaller than the sum of its proper divisors (3824391399).

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

2572518400 is an frugal number, since it uses more digits than its factorization.

2572518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The cubic root of 2572518400 is about 1370.2069412296.

The spelling of 2572518400 in words is "two billion, five hundred seventy-two million, five hundred eighteen thousand, four hundred".