2688362964 has 144 divisors (see below), whose sum is σ = 8063817216. Its totient is φ = 739437120.

The previous prime is 2688362951. The next prime is 2688362977. The reversal of 2688362964 is 4692638862.

2688362964 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 3 + 629 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2688362951) and next prime (2688362977).

It is a self number, because there is not a number n which added to its sum of digits gives 2688362964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44071494 + ... + 44071554.

Almost surely, 2^2688362964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688362964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031908608).

2688362964 is an abundant number, since it is smaller than the sum of its proper divisors (5375454252).

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

2688362964 is an equidigital number, since it uses as much as digits as its factorization.

2688362964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 120 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2688362964 is about 51849.4258791744. The cubic root of 2688362964 is about 1390.4732381010.

The spelling of 2688362964 in words is "two billion, six hundred eighty-eight million, three hundred sixty-two thousand, nine hundred sixty-four".