2635956960 has 576 divisors, whose sum is σ = 10728873792. Its totient is φ = 538804224.

The previous prime is 2635956937. The next prime is 2635957003. The reversal of 2635956960 is 696595362.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11313004 + ... + 11313236.

It is an arithmetic number, because the mean of its divisors is an integer number (18626517).

Almost surely, 2^2635956960 is an apocalyptic number.

2635956960 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 2635956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364436896).

2635956960 is an abundant number, since it is smaller than the sum of its proper divisors (8092916832).

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

2635956960 is a wasteful number, since it uses less digits than its factorization.

2635956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The square root of 2635956960 is about 51341.5714601725. The cubic root of 2635956960 is about 1381.3787522603.

The spelling of 2635956960 in words is "two billion, six hundred thirty-five million, nine hundred fifty-six thousand, nine hundred sixty".