242142080 has 64 divisors (see below), whose sum is σ = 609368400. Its totient is φ = 91754496.

The previous prime is 242142079. The next prime is 242142113. The reversal of 242142080 is 80241242.

It is a happy number.

242142080 is digitally balanced in base 2, 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 (64).

It is a super-3 number, since 3×242142080³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2204 + ... + 22116.

Almost surely, 2^242142080 is an apocalyptic number.

242142080 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 242142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304684200).

242142080 is an abundant number, since it is smaller than the sum of its proper divisors (367226320).

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

242142080 is a wasteful number, since it uses less digits than its factorization.

242142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19951 (or 19939 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 242142080 is about 15560.9151401838. The cubic root of 242142080 is about 623.2899000942.

The spelling of 242142080 in words is "two hundred forty-two million, one hundred forty-two thousand, eighty".