242320680 has 384 divisors, whose sum is σ = 993168000. Its totient is φ = 52254720.

The previous prime is 242320679. The next prime is 242320697. The reversal of 242320680 is 86023242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1005360 + ... + 1005600.

It is an arithmetic number, because the mean of its divisors is an integer number (2586375).

Almost surely, 2^242320680 is an apocalyptic number.

242320680 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 242320680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496584000).

242320680 is an abundant number, since it is smaller than the sum of its proper divisors (750847320).

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

242320680 is a wasteful number, since it uses less digits than its factorization.

242320680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242320680 is about 15566.6528194085. The cubic root of 242320680 is about 623.4431052128.

The spelling of 242320680 in words is "two hundred forty-two million, three hundred twenty thousand, six hundred eighty".