242085840 has 80 divisors (see below), whose sum is σ = 789979200. Its totient is φ = 61157376.

The previous prime is 242085817. The next prime is 242085847. The reversal of 242085840 is 48580242.

It is a happy number.

242085840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242085847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21985 + ... + 31104.

It is an arithmetic number, because the mean of its divisors is an integer number (9874740).

Almost surely, 2^242085840 is an apocalyptic number.

242085840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242085840 is an abundant number, since it is smaller than the sum of its proper divisors (547893360).

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

242085840 is a wasteful number, since it uses less digits than its factorization.

242085840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53124 (or 53118 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 242085840 is about 15559.1079435808. The cubic root of 242085840 is about 623.2416411847.

The spelling of 242085840 in words is "two hundred forty-two million, eighty-five thousand, eight hundred forty".