242052552 has 288 divisors, whose sum is σ = 842961600. Its totient is φ = 62270208.

The previous prime is 242052523. The next prime is 242052563. The reversal of 242052552 is 255250242.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1541658 + ... + 1541814.

It is an arithmetic number, because the mean of its divisors is an integer number (2926950).

Almost surely, 2^242052552 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 242052552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421480800).

242052552 is an abundant number, since it is smaller than the sum of its proper divisors (600909048).

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

242052552 is a wasteful number, since it uses less digits than its factorization.

242052552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 242052552 is about 15558.0381796678. The cubic root of 242052552 is about 623.2130736062.

The spelling of 242052552 in words is "two hundred forty-two million, fifty-two thousand, five hundred fifty-two".