242509168 has 60 divisors (see below), whose sum is σ = 519662920. Its totient is φ = 109549440.

The previous prime is 242509153. The next prime is 242509177. The reversal of 242509168 is 861905242.

242509168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443071 + ... + 443617.

Almost surely, 2^242509168 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 242509168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259831460).

242509168 is an abundant number, since it is smaller than the sum of its proper divisors (277153752).

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

242509168 is a wasteful number, since it uses less digits than its factorization.

242509168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 242509168 is about 15572.7058663548. The cubic root of 242509168 is about 623.6047107466.

The spelling of 242509168 in words is "two hundred forty-two million, five hundred nine thousand, one hundred sixty-eight".