2646930648960 has 2048 divisors, whose sum is σ = 11128803840000. Its totient is φ = 595954630656.

The previous prime is 2646930648877. The next prime is 2646930648983. The reversal of 2646930648960 is 698460396462.

2646930648960 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 93 + 0 + 6 + 489 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13301158941 + ... + 13301159139.

It is an arithmetic number, because the mean of its divisors is an integer number (5433986250).

Almost surely, 2^{2646930648960} is an apocalyptic number.

2646930648960 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 2646930648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564401920000).

2646930648960 is an abundant number, since it is smaller than the sum of its proper divisors (8481873191040).

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

2646930648960 is a wasteful number, since it uses less digits than its factorization.

2646930648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 2646930648960 in words is "two trillion, six hundred forty-six billion, nine hundred thirty million, six hundred forty-eight thousand, nine hundred sixty".