2696635920 has 320 divisors, whose sum is σ = 9642240000. Its totient is φ = 617041920.

The previous prime is 2696635913. The next prime is 2696635937. The reversal of 2696635920 is 295366962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2696635920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5403831 + ... + 5404329.

It is an arithmetic number, because the mean of its divisors is an integer number (30132000).

Almost surely, 2^2696635920 is an apocalyptic number.

2696635920 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 2696635920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120000).

2696635920 is an abundant number, since it is smaller than the sum of its proper divisors (6945604080).

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

2696635920 is a wasteful number, since it uses less digits than its factorization.

2696635920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 2696635920 is about 51929.1432627191. The cubic root of 2696635920 is about 1391.8980883905.

The spelling of 2696635920 in words is "two billion, six hundred ninety-six million, six hundred thirty-five thousand, nine hundred twenty".