2891272968 has 80 divisors (see below), whose sum is σ = 8200896000. Its totient is φ = 951541344.

The previous prime is 2891272963. The next prime is 2891272987. The reversal of 2891272968 is 8692721982.

2891272968 is a `hidden beast` number, since 289 + 1 + 272 + 96 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2891272961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22953 + ... + 79431.

It is an arithmetic number, because the mean of its divisors is an integer number (102511200).

Almost surely, 2^2891272968 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 2891272968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100448000).

2891272968 is an abundant number, since it is smaller than the sum of its proper divisors (5309623032).

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

2891272968 is a wasteful number, since it uses less digits than its factorization.

2891272968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56576 (or 56563 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 2891272968 is about 53770.5585613540. The cubic root of 2891272968 is about 1424.6112357764.

The spelling of 2891272968 in words is "two billion, eight hundred ninety-one million, two hundred seventy-two thousand, nine hundred sixty-eight".