242136584 has 32 divisors (see below), whose sum is σ = 468163800. Its totient is φ = 117319680.

The previous prime is 242136581. The next prime is 242136607. The reversal of 242136584 is 485631242.

242136584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 239320900 + 2815684 = 15470^2 + 1678^2 .

It is a super-2 number, since 2×242136584² = 117260250622378112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242136581) 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, 78104 + ... + 81144.

Almost surely, 2^242136584 is an apocalyptic number.

It is an amenable number.

242136584 is a deficient number, since it is larger than the sum of its proper divisors (226027216).

242136584 is a wasteful number, since it uses less digits than its factorization.

242136584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3349 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 242136584 is about 15560.7385428841. The cubic root of 242136584 is about 623.2851843681.

The spelling of 242136584 in words is "two hundred forty-two million, one hundred thirty-six thousand, five hundred eighty-four".