242239680 has 336 divisors, whose sum is σ = 910193760. Its totient is φ = 60622848.

The previous prime is 242239667. The next prime is 242239709. The reversal of 242239680 is 86932242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4570534 + ... + 4570586.

It is an arithmetic number, because the mean of its divisors is an integer number (2708910).

Almost surely, 2^242239680 is an apocalyptic number.

242239680 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 242239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455096880).

242239680 is an abundant number, since it is smaller than the sum of its proper divisors (667954080).

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

242239680 is a wasteful number, since it uses less digits than its factorization.

242239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 242239680 is about 15564.0508865783. The cubic root of 242239680 is about 623.3736318201.

The spelling of 242239680 in words is "two hundred forty-two million, two hundred thirty-nine thousand, six hundred eighty".