2668092876960 has 432 divisors, whose sum is σ = 10102289567328. Its totient is φ = 590172226560.

The previous prime is 2668092876949. The next prime is 2668092876983. The reversal of 2668092876960 is 696782908662.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22543699 + ... + 22661741.

It is an arithmetic number, because the mean of its divisors is an integer number (23384929554).

Almost surely, 2^{2668092876960} is an apocalyptic number.

2668092876960 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 2668092876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051144783664).

2668092876960 is an abundant number, since it is smaller than the sum of its proper divisors (7434196690368).

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

2668092876960 is a wasteful number, since it uses less digits than its factorization.

2668092876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118137 (or 118091 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 2668092876960 in words is "two trillion, six hundred sixty-eight billion, ninety-two million, eight hundred seventy-six thousand, nine hundred sixty".