2685312400 has 45 divisors (see below), whose sum is σ = 6453953953. Its totient is φ = 1073710400.

The previous prime is 2685312359. The next prime is 2685312433. The reversal of 2685312400 is 42135862.

The square root of 2685312400 is 51820.

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

It can be written as a sum of positive squares in only one way, i.e., 966712464 + 1718599936 = 31092^2 + 41456^2 .

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, 1035105 + ... + 1037695.

Almost surely, 2^2685312400 is an apocalyptic number.

2685312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2685312400 is the 51820-th square number.

It is an amenable number.

2685312400 is an abundant number, since it is smaller than the sum of its proper divisors (3768641553).

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

2685312400 is an frugal number, since it uses more digits than its factorization.

2685312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The cubic root of 2685312400 is about 1389.9471021741.

The spelling of 2685312400 in words is "two billion, six hundred eighty-five million, three hundred twelve thousand, four hundred".