2629082664 has 64 divisors (see below), whose sum is σ = 7864785600. Its totient is φ = 808947648.

The previous prime is 2629082641. The next prime is 2629082707. The reversal of 2629082664 is 4662809262.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465334 + ... + 470949.

It is an arithmetic number, because the mean of its divisors is an integer number (122887275).

Almost surely, 2^2629082664 is an apocalyptic number.

2629082664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2629082664 is an abundant number, since it is smaller than the sum of its proper divisors (5235702936).

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

2629082664 is a wasteful number, since it uses less digits than its factorization.

2629082664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936311 (or 936301 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2629082664 is about 51274.5810709361. The cubic root of 2629082664 is about 1380.1768771393.

The spelling of 2629082664 in words is "two billion, six hundred twenty-nine million, eighty-two thousand, six hundred sixty-four".