2629668756 has 96 divisors (see below), whose sum is σ = 7240641408. Its totient is φ = 732303360.

The previous prime is 2629668737. The next prime is 2629668779. The reversal of 2629668756 is 6578669262.

It is a junction number, because it is equal to n+sod(n) for n = 2629668696 and 2629668705.

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, 396540 + ... + 403116.

It is an arithmetic number, because the mean of its divisors is an integer number (75423348).

Almost surely, 2^2629668756 is an apocalyptic number.

2629668756 is a gapful number since it is divisible by the number (26) 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 2629668756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620320704).

2629668756 is an abundant number, since it is smaller than the sum of its proper divisors (4610972652).

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

2629668756 is a wasteful number, since it uses less digits than its factorization.

2629668756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6839 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 2629668756 is about 51280.2959819851. The cubic root of 2629668756 is about 1380.2794288184.

The spelling of 2629668756 in words is "two billion, six hundred twenty-nine million, six hundred sixty-eight thousand, seven hundred fifty-six".