242332395552 has 288 divisors, whose sum is σ = 797835467520. Its totient is φ = 69135482880.

The previous prime is 242332395541. The next prime is 242332395619. The reversal of 242332395552 is 255593233242.

242332395552 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 2 + 3 + 95 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 242332395498 and 242332395507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3307152 + ... + 3379632.

It is an arithmetic number, because the mean of its divisors is an integer number (2770262040).

Almost surely, 2^242332395552 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 242332395552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398917733760).

242332395552 is an abundant number, since it is smaller than the sum of its proper divisors (555503071968).

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

242332395552 is a wasteful number, since it uses less digits than its factorization.

242332395552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72576 (or 72565 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 242332395552 in words is "two hundred forty-two billion, three hundred thirty-two million, three hundred ninety-five thousand, five hundred fifty-two".