242409075772572 has 108 divisors (see below), whose sum is σ = 627702635536704. Its totient is φ = 78877988542080.

The previous prime is 242409075772519. The next prime is 242409075772597. The reversal of 242409075772572 is 275277570904242.

242409075772572 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 0 + 9 + 0 + 7 + 57 + 7 + 2 + 572 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113498613 + ... + 115614675.

Almost surely, 2^{242409075772572} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242409075772572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313851317768352).

242409075772572 is an abundant number, since it is smaller than the sum of its proper divisors (385293559764132).

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

242409075772572 is a wasteful number, since it uses less digits than its factorization.

242409075772572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117880 (or 2117832 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 63.

The spelling of 242409075772572 in words is "two hundred forty-two trillion, four hundred nine billion, seventy-five million, seven hundred seventy-two thousand, five hundred seventy-two".