296022984960 has 288 divisors, whose sum is σ = 956276471808. Its totient is φ = 78038794240.

The previous prime is 296022984931. The next prime is 296022984977. The reversal of 296022984960 is 69489220692.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 296022984960.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 126883954 + ... + 126886286.

It is an arithmetic number, because the mean of its divisors is an integer number (3320404416).

Almost surely, 2^296022984960 is an apocalyptic number.

296022984960 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 296022984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478138235904).

296022984960 is an abundant number, since it is smaller than the sum of its proper divisors (660253486848).

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

296022984960 is a wasteful number, since it uses less digits than its factorization.

296022984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 296022984960 in words is "two hundred ninety-six billion, twenty-two million, nine hundred eighty-four thousand, nine hundred sixty".