242447584320 has 112 divisors (see below), whose sum is σ = 855301230720. Its totient is φ = 64652686848.

The previous prime is 242447584243. The next prime is 242447584373. The reversal of 242447584320 is 23485744242.

242447584320 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 47 + 584 + 3 + 20 = 666.

It is a super-2 number, since 2×242447584320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14021892 + ... + 14039171.

Almost surely, 2^242447584320 is an apocalyptic number.

242447584320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242447584320 is an abundant number, since it is smaller than the sum of its proper divisors (612853646400).

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

242447584320 is a wasteful number, since it uses less digits than its factorization.

242447584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28061089 (or 28061073 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 242447584320 in words is "two hundred forty-two billion, four hundred forty-seven million, five hundred eighty-four thousand, three hundred twenty".