2688464660 has 96 divisors (see below), whose sum is σ = 7191555840. Its totient is φ = 821864448.

The previous prime is 2688464627. The next prime is 2688464671. The reversal of 2688464660 is 664648862.

It is a junction number, because it is equal to n+sod(n) for n = 2688464599 and 2688464608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15494 + ... + 74946.

It is an arithmetic number, because the mean of its divisors is an integer number (74912040).

Almost surely, 2^2688464660 is an apocalyptic number.

2688464660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688464660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595777920).

2688464660 is an abundant number, since it is smaller than the sum of its proper divisors (4503091180).

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

2688464660 is a wasteful number, since it uses less digits than its factorization.

2688464660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59505 (or 59503 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The square root of 2688464660 is about 51850.4065557831. The cubic root of 2688464660 is about 1390.4907709249.

The spelling of 2688464660 in words is "two billion, six hundred eighty-eight million, four hundred sixty-four thousand, six hundred sixty".