2689604960 has 192 divisors, whose sum is σ = 7446297600. Its totient is φ = 899082240.

The previous prime is 2689604941. The next prime is 2689604987. The reversal of 2689604960 is 694069862.

It is a junction number, because it is equal to n+sod(n) for n = 2689604899 and 2689604908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11848367 + ... + 11848593.

It is an arithmetic number, because the mean of its divisors is an integer number (38782800).

Almost surely, 2^2689604960 is an apocalyptic number.

2689604960 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 2689604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723148800).

2689604960 is an abundant number, since it is smaller than the sum of its proper divisors (4756692640).

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

2689604960 is a wasteful number, since it uses less digits than its factorization.

2689604960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 2689604960 is about 51861.4014465479. The cubic root of 2689604960 is about 1390.6873332393.

The spelling of 2689604960 in words is "two billion, six hundred eighty-nine million, six hundred four thousand, nine hundred sixty".