242716320 has 432 divisors, whose sum is σ = 1045699200. Its totient is φ = 50181120.

The previous prime is 242716273. The next prime is 242716321. The reversal of 242716320 is 23617242.

242716320 is a `hidden beast` number, since 2 + 4 + 27 + 1 + 632 + 0 = 666.

242716320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242716320² = 117822423988684800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242716321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219581 + ... + 1219779.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2^242716320 is an apocalyptic number.

242716320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849600).

242716320 is an abundant number, since it is smaller than the sum of its proper divisors (802982880).

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

242716320 is a wasteful number, since it uses less digits than its factorization.

242716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 242716320 is about 15579.3555707545. The cubic root of 242716320 is about 623.7822218339.

The spelling of 242716320 in words is "two hundred forty-two million, seven hundred sixteen thousand, three hundred twenty".