242518624 has 96 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 110702592.

The previous prime is 242518559. The next prime is 242518657. The reversal of 242518624 is 426815242.

It is a self number, because there is not a number n which added to its sum of digits gives 242518624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500144 + ... + 2500240.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2^242518624 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 242518624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

242518624 is an abundant number, since it is smaller than the sum of its proper divisors (279060896).

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

242518624 is a wasteful number, since it uses less digits than its factorization.

242518624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 242518624 is about 15573.0094715183. The cubic root of 242518624 is about 623.6128159103.

The spelling of 242518624 in words is "two hundred forty-two million, five hundred eighteen thousand, six hundred twenty-four".