242053680 has 160 divisors (see below), whose sum is σ = 824018688. Its totient is φ = 58291200.

The previous prime is 242053661. The next prime is 242053717. The reversal of 242053680 is 86350242.

242053680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731115 + ... + 731445.

Almost surely, 2^242053680 is an apocalyptic number.

242053680 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 242053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412009344).

242053680 is an abundant number, since it is smaller than the sum of its proper divisors (581965008).

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

242053680 is a wasteful number, since it uses less digits than its factorization.

242053680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 242053680 is about 15558.0744309828. The cubic root of 242053680 is about 623.2140416924.

The spelling of 242053680 in words is "two hundred forty-two million, fifty-three thousand, six hundred eighty".