296227290240 has 1280 divisors, whose sum is σ = 1322272512000. Its totient is φ = 61630709760.

The previous prime is 296227290221. The next prime is 296227290311. The reversal of 296227290240 is 42092722692.

296227290240 is a `hidden beast` number, since 296 + 2 + 272 + 90 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 191236986 + ... + 191238534.

It is an arithmetic number, because the mean of its divisors is an integer number (1033025400).

Almost surely, 2^296227290240 is an apocalyptic number.

296227290240 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 296227290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661136256000).

296227290240 is an abundant number, since it is smaller than the sum of its proper divisors (1026045221760).

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

296227290240 is a wasteful number, since it uses less digits than its factorization.

296227290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 296227290240 in words is "two hundred ninety-six billion, two hundred twenty-seven million, two hundred ninety thousand, two hundred forty".