242577920484 has 243 divisors, whose sum is σ = 664258014147. Its totient is φ = 74634813792.

The previous prime is 242577920467. The next prime is 242577920513. The reversal of 242577920484 is 484029775242.

The square root of 242577920484 is 492522.

It is a perfect power (a square), and thus also a powerful number.

242577920484 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 77 + 92 + 0 + 484 = 666.

242577920484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242577920484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2922625507 + ... + 2922625589.

Almost surely, 2^242577920484 is an apocalyptic number.

242577920484 is the 492522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242577920484

242577920484 is an abundant number, since it is smaller than the sum of its proper divisors (421680093663).

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

242577920484 is a wasteful number, since it uses less digits than its factorization.

242577920484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 242577920484 in words is "two hundred forty-two billion, five hundred seventy-seven million, nine hundred twenty thousand, four hundred eighty-four".