2688629904 has 135 divisors (see below), whose sum is σ = 7845491563. Its totient is φ = 859498752.

The previous prime is 2688629891. The next prime is 2688629927. The reversal of 2688629904 is 4099268862.

It is a happy number.

The square root of 2688629904 is 51852.

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

2688629904 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 629 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 430479504 + 2258150400 = 20748^2 + 47520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18044422 + ... + 18044570.

Almost surely, 2^2688629904 is an apocalyptic number.

2688629904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2688629904 is the 51852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688629904

2688629904 is an abundant number, since it is smaller than the sum of its proper divisors (5156861659).

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

2688629904 is a wasteful number, since it uses less digits than its factorization.

2688629904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The cubic root of 2688629904 is about 1390.5192587520.

The spelling of 2688629904 in words is "two billion, six hundred eighty-eight million, six hundred twenty-nine thousand, nine hundred four".