242575225344 has 240 divisors, whose sum is σ = 731497770432. Its totient is φ = 77240131584.

The previous prime is 242575225309. The next prime is 242575225369. The reversal of 242575225344 is 443522575242.

242575225344 is a `hidden beast` number, since 2 + 4 + 2 + 575 + 22 + 53 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242575225344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145515199 + ... + 145516865.

Almost surely, 2^242575225344 is an apocalyptic number.

242575225344 is a gapful number since it is divisible by the number (24) 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 242575225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365748885216).

242575225344 is an abundant number, since it is smaller than the sum of its proper divisors (488922545088).

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

242575225344 is a wasteful number, since it uses less digits than its factorization.

242575225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3068 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 45.

The spelling of 242575225344 in words is "two hundred forty-two billion, five hundred seventy-five million, two hundred twenty-five thousand, three hundred forty-four".