2672813900268 has 36 divisors (see below), whose sum is σ = 6756363982368. Its totient is φ = 890926836960.

The previous prime is 2672813900261. The next prime is 2672813900293. The reversal of 2672813900268 is 8620093182762.

2672813900268 is a `hidden beast` number, since 267 + 28 + 13 + 90 + 0 + 268 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2672813900261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2766253 + ... + 3605243.

It is an arithmetic number, because the mean of its divisors is an integer number (187676777288).

Almost surely, 2^{2672813900268} is an apocalyptic number.

It is an amenable number.

2672813900268 is an abundant number, since it is smaller than the sum of its proper divisors (4083550082100).

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

2672813900268 is a wasteful number, since it uses less digits than its factorization.

2672813900268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927494 (or 927489 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2672813900268 in words is "two trillion, six hundred seventy-two billion, eight hundred thirteen million, nine hundred thousand, two hundred sixty-eight".