2680314400 has 36 divisors (see below), whose sum is σ = 6543319482. Its totient is φ = 1072125440.

The previous prime is 2680314383. The next prime is 2680314421. The reversal of 2680314400 is 44130862.

It can be written as a sum of positive squares in 3 ways, for example, as 2370131856 + 310182544 = 48684^2 + 17612^2 .

It is a super-3 number, since 3×2680314400³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1674397 + ... + 1675996.

Almost surely, 2^2680314400 is an apocalyptic number.

2680314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2680314400 is an abundant number, since it is smaller than the sum of its proper divisors (3863005082).

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

2680314400 is a wasteful number, since it uses less digits than its factorization.

2680314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350413 (or 3350400 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2680314400 is about 51771.7529160449. The cubic root of 2680314400 is about 1389.0842267717.

The spelling of 2680314400 in words is "two billion, six hundred eighty million, three hundred fourteen thousand, four hundred".