242100584 has 64 divisors (see below), whose sum is σ = 539352000. Its totient is φ = 100638720.

The previous prime is 242100581. The next prime is 242100601. The reversal of 242100584 is 485001242.

It is a happy number.

242100584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242100584² = 117225385546282112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242100581) 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, 45992 + ... + 50984.

It is an arithmetic number, because the mean of its divisors is an integer number (8427375).

Almost surely, 2^242100584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242100584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269676000).

242100584 is an abundant number, since it is smaller than the sum of its proper divisors (297251416).

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

242100584 is a wasteful number, since it uses less digits than its factorization.

242100584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 242100584 is about 15559.5817424505. The cubic root of 242100584 is about 623.2542935676.

The spelling of 242100584 in words is "two hundred forty-two million, one hundred thousand, five hundred eighty-four".