2668956372 has 96 divisors (see below), whose sum is σ = 7480771200. Its totient is φ = 820025856.

The previous prime is 2668956347. The next prime is 2668956419. The reversal of 2668956372 is 2736598662.

2668956372 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 9 + 563 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 58348 + ... + 93500.

It is an arithmetic number, because the mean of its divisors is an integer number (77924700).

Almost surely, 2^2668956372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668956372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740385600).

2668956372 is an abundant number, since it is smaller than the sum of its proper divisors (4811814828).

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

2668956372 is a wasteful number, since it uses less digits than its factorization.

2668956372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35222 (or 35214 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2668956372 is about 51661.9431690292. The cubic root of 2668956372 is about 1387.1193334099.

The spelling of 2668956372 in words is "two billion, six hundred sixty-eight million, nine hundred fifty-six thousand, three hundred seventy-two".