2635972320 has 48 divisors (see below), whose sum is σ = 8303314320. Its totient is φ = 702925824.

The previous prime is 2635972309. The next prime is 2635972327. The reversal of 2635972320 is 232795362.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2635972327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2745325 + ... + 2746284.

It is an arithmetic number, because the mean of its divisors is an integer number (172985715).

Almost surely, 2^2635972320 is an apocalyptic number.

2635972320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2635972320 is an abundant number, since it is smaller than the sum of its proper divisors (5667342000).

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

2635972320 is a wasteful number, since it uses less digits than its factorization.

2635972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491627 (or 5491619 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 2635972320 is about 51341.7210463381. The cubic root of 2635972320 is about 1381.3814354018.

The spelling of 2635972320 in words is "two billion, six hundred thirty-five million, nine hundred seventy-two thousand, three hundred twenty".