242536920 has 64 divisors (see below), whose sum is σ = 743109120. Its totient is φ = 63298944.

The previous prime is 242536913. The next prime is 242536927. The reversal of 242536920 is 29635242.

242536920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242536913) and next prime (242536927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242536927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15862 + ... + 27141.

It is an arithmetic number, because the mean of its divisors is an integer number (11611080).

Almost surely, 2^242536920 is an apocalyptic number.

242536920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242536920 is an abundant number, since it is smaller than the sum of its proper divisors (500572200).

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

242536920 is a wasteful number, since it uses less digits than its factorization.

242536920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43064 (or 43060 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 242536920 is about 15573.5968870393. The cubic root of 242536920 is about 623.6284976381.

The spelling of 242536920 in words is "two hundred forty-two million, five hundred thirty-six thousand, nine hundred twenty".