242945568 has 144 divisors (see below), whose sum is σ = 724651200. Its totient is φ = 80061696.

The previous prime is 242945567. The next prime is 242945569. The reversal of 242945568 is 865549242.

242945568 is a `hidden beast` number, since 2 + 4 + 2 + 94 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (242945567) and next prime (242945569).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (242945567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220733 + ... + 1220931.

It is an arithmetic number, because the mean of its divisors is an integer number (5032300).

Almost surely, 2^242945568 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 242945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362325600).

242945568 is an abundant number, since it is smaller than the sum of its proper divisors (481705632).

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

242945568 is a wasteful number, since it uses less digits than its factorization.

242945568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 361 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 242945568 is about 15586.7112631241. The cubic root of 242945568 is about 623.9785495585.

The spelling of 242945568 in words is "two hundred forty-two million, nine hundred forty-five thousand, five hundred sixty-eight".