2908972862796 has 768 divisors, whose sum is σ = 9746085888000. Its totient is φ = 650305843200.

The previous prime is 2908972862791. The next prime is 2908972862849. The reversal of 2908972862796 is 6972682798092.

It is not an unprimeable number, because it can be changed into a prime (2908972862791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4454782006 + ... + 4454782658.

It is an arithmetic number, because the mean of its divisors is an integer number (12690216000).

Almost surely, 2^{2908972862796} is an apocalyptic number.

2908972862796 is a gapful number since it is divisible by the number (26) 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 2908972862796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873042944000).

2908972862796 is an abundant number, since it is smaller than the sum of its proper divisors (6837113025204).

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

2908972862796 is a wasteful number, since it uses less digits than its factorization.

2908972862796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 75.

The spelling of 2908972862796 in words is "two trillion, nine hundred eight billion, nine hundred seventy-two million, eight hundred sixty-two thousand, seven hundred ninety-six".