2605899918400 has 63 divisors (see below), whose sum is σ = 6412301376159. Its totient is φ = 1042334138880.

The previous prime is 2605899918379. The next prime is 2605899918431. The reversal of 2605899918400 is 48199985062.

The square root of 2605899918400 is 1614280.

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 1213575437376 + 1392324481024 = 1101624^2 + 1179968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64551022 + ... + 64591378.

Almost surely, 2^{2605899918400} is an apocalyptic number.

2605899918400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2605899918400 is the 1614280-th square number.

It is an amenable number.

2605899918400 is an abundant number, since it is smaller than the sum of its proper divisors (3806401457759).

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

2605899918400 is an frugal number, since it uses more digits than its factorization.

2605899918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80736 (or 40364 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 2605899918400 in words is "two trillion, six hundred five billion, eight hundred ninety-nine million, nine hundred eighteen thousand, four hundred".