2633664680 has 64 divisors (see below), whose sum is σ = 6243644160. Its totient is φ = 997843968.

The previous prime is 2633664679. The next prime is 2633664763. The reversal of 2633664680 is 864663362.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 80864 + ... + 108656.

It is an arithmetic number, because the mean of its divisors is an integer number (97556940).

Almost surely, 2^2633664680 is an apocalyptic number.

2633664680 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 2633664680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121822080).

2633664680 is an abundant number, since it is smaller than the sum of its proper divisors (3609979480).

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

2633664680 is a wasteful number, since it uses less digits than its factorization.

2633664680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27930 (or 27926 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The square root of 2633664680 is about 51319.2427847489. The cubic root of 2633664680 is about 1380.9782114241.

The spelling of 2633664680 in words is "two billion, six hundred thirty-three million, six hundred sixty-four thousand, six hundred eighty".