2680652688 has 80 divisors (see below), whose sum is σ = 7925314176. Its totient is φ = 764835840.

The previous prime is 2680652687. The next prime is 2680652707. The reversal of 2680652688 is 8862560862.

2680652688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2680652688.

It is not an unprimeable number, because it can be changed into a prime (2680652687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254568 + ... + 264888.

Almost surely, 2^2680652688 is an apocalyptic number.

2680652688 is a gapful number since it is divisible by the number (28) 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 2680652688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962657088).

2680652688 is an abundant number, since it is smaller than the sum of its proper divisors (5244661488).

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

2680652688 is a wasteful number, since it uses less digits than its factorization.

2680652688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The square root of 2680652688 is about 51775.0199227388. The cubic root of 2680652688 is about 1389.1426640402.

The spelling of 2680652688 in words is "two billion, six hundred eighty million, six hundred fifty-two thousand, six hundred eighty-eight".