2633879664 has 120 divisors (see below), whose sum is σ = 7954542960. Its totient is φ = 808759296.

The previous prime is 2633879657. The next prime is 2633879701. The reversal of 2633879664 is 4669783362.

It is a self number, because there is not a number n which added to its sum of digits gives 2633879664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157632 + ... + 1159904.

It is an arithmetic number, because the mean of its divisors is an integer number (66287858).

Almost surely, 2^2633879664 is an apocalyptic number.

2633879664 is a gapful number since it is divisible by the number (24) 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 2633879664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977271480).

2633879664 is an abundant number, since it is smaller than the sum of its proper divisors (5320663296).

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

2633879664 is a wasteful number, since it uses less digits than its factorization.

2633879664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2910 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 2633879664 is about 51321.3373169484. The cubic root of 2633879664 is about 1381.0157864609.

The spelling of 2633879664 in words is "two billion, six hundred thirty-three million, eight hundred seventy-nine thousand, six hundred sixty-four".