2688460680 has 128 divisors (see below), whose sum is σ = 8178693120. Its totient is φ = 706917120.

The previous prime is 2688460673. The next prime is 2688460681. The reversal of 2688460680 is 860648862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2688460681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5475235 + ... + 5475725.

It is an arithmetic number, because the mean of its divisors is an integer number (63896040).

Almost surely, 2^2688460680 is an apocalyptic number.

2688460680 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 2688460680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089346560).

2688460680 is an abundant number, since it is smaller than the sum of its proper divisors (5490232440).

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

2688460680 is a wasteful number, since it uses less digits than its factorization.

2688460680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2688460680 is about 51850.3681761277. The cubic root of 2688460680 is about 1390.4900847642.

The spelling of 2688460680 in words is "two billion, six hundred eighty-eight million, four hundred sixty thousand, six hundred eighty".