2891934976000 has 768 divisors, whose sum is σ = 8752958323200. Its totient is φ = 931627008000.

The previous prime is 2891934975991. The next prime is 2891934976001. The reversal of 2891934976000 is 6794391982.

It is not an unprimeable number, because it can be changed into a prime (2891934976001) 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 63 ways as a sum of consecutive naturals, for example, 5345535730 + ... + 5345536270.

It is an arithmetic number, because the mean of its divisors is an integer number (11397081150).

Almost surely, 2^{2891934976000} is an apocalyptic number.

2891934976000 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 2891934976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376479161600).

2891934976000 is an abundant number, since it is smaller than the sum of its proper divisors (5861023347200).

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

2891934976000 is a wasteful number, since it uses less digits than its factorization.

2891934976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 2891934976000 in words is "two trillion, eight hundred ninety-one billion, nine hundred thirty-four million, nine hundred seventy-six thousand".