296242272000 has 1296 divisors, whose sum is σ = 1186141555872. Its totient is φ = 73455206400.

The previous prime is 296242271999. The next prime is 296242272047. The reversal of 296242272000 is 272242692.

296242272000 is a `hidden beast` number, since 2 + 9 + 624 + 2 + 2 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3569183959 + ... + 3569184041.

It is an arithmetic number, because the mean of its divisors is an integer number (915232682).

Almost surely, 2^296242272000 is an apocalyptic number.

296242272000 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 296242272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593070777936).

296242272000 is an abundant number, since it is smaller than the sum of its proper divisors (889899283872).

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

296242272000 is an frugal number, since it uses more digits than its factorization.

296242272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 296242272000 in words is "two hundred ninety-six billion, two hundred forty-two million, two hundred seventy-two thousand".