242656579072 has 80 divisors (see below), whose sum is σ = 518158911600. Its totient is φ = 113123688448.

The previous prime is 242656579063. The next prime is 242656579079. The reversal of 242656579072 is 270975656242.

It is a happy number.

242656579072 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 not an unprimeable number, because it can be changed into a prime (242656579079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801054 + ... + 1061602.

It is an arithmetic number, because the mean of its divisors is an integer number (6476986395).

Almost surely, 2^242656579072 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 242656579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259079455800).

242656579072 is an abundant number, since it is smaller than the sum of its proper divisors (275502332528).

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

242656579072 is a wasteful number, since it uses less digits than its factorization.

242656579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260691 (or 260675 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 242656579072 in words is "two hundred forty-two billion, six hundred fifty-six million, five hundred seventy-nine thousand, seventy-two".