2891292962712 has 256 divisors, whose sum is σ = 9043572326400. Its totient is φ = 748344199680.

The previous prime is 2891292962707. The next prime is 2891292962717. The reversal of 2891292962712 is 2172692921982.

It is an interprime number because it is at equal distance from previous prime (2891292962707) and next prime (2891292962717).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891292962717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786316618 + ... + 786320294.

It is an arithmetic number, because the mean of its divisors is an integer number (35326454400).

Almost surely, 2^{2891292962712} is an apocalyptic number.

2891292962712 is a gapful number since it is divisible by the number (22) 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 2891292962712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521786163200).

2891292962712 is an abundant number, since it is smaller than the sum of its proper divisors (6152279363688).

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

2891292962712 is a wasteful number, since it uses less digits than its factorization.

2891292962712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5082 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The spelling of 2891292962712 in words is "two trillion, eight hundred ninety-one billion, two hundred ninety-two million, nine hundred sixty-two thousand, seven hundred twelve".