242085760 has 64 divisors (see below), whose sum is σ = 661425120. Its totient is φ = 82999296.

The previous prime is 242085757. The next prime is 242085769. The reversal of 242085760 is 67580242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242085769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22539 + ... + 31498.

Almost surely, 2^242085760 is an apocalyptic number.

242085760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242085760 is an abundant number, since it is smaller than the sum of its proper divisors (419339360).

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

242085760 is an equidigital number, since it uses as much as digits as its factorization.

242085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54063 (or 54051 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 242085760 is about 15559.1053727391. The cubic root of 242085760 is about 623.2415725323.

The spelling of 242085760 in words is "two hundred forty-two million, eighty-five thousand, seven hundred sixty".