242055635520 has 112 divisors (see below), whose sum is σ = 768650053248. Its totient is φ = 64537804800.

The previous prime is 242055635509. The next prime is 242055635543. The reversal of 242055635520 is 25536550242.

242055635520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7363120 + ... + 7395920.

It is an arithmetic number, because the mean of its divisors is an integer number (6862946904).

Almost surely, 2^242055635520 is an apocalyptic number.

242055635520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242055635520 is an abundant number, since it is smaller than the sum of its proper divisors (526594417728).

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

242055635520 is a wasteful number, since it uses less digits than its factorization.

242055635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40508 (or 40498 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 242055635520 in words is "two hundred forty-two billion, fifty-five million, six hundred thirty-five thousand, five hundred twenty".