242368544 has 48 divisors (see below), whose sum is σ = 538513920. Its totient is φ = 106364160.

The previous prime is 242368543. The next prime is 242368561. The reversal of 242368544 is 445863242.

It is a happy number.

242368544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242368544² = 117485022241359872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242368498 and 242368507.

It is not an unprimeable number, because it can be changed into a prime (242368543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1664 + ... + 22079.

It is an arithmetic number, because the mean of its divisors is an integer number (11219040).

Almost surely, 2^242368544 is an apocalyptic number.

It is an amenable number.

242368544 is an abundant number, since it is smaller than the sum of its proper divisors (296145376).

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

242368544 is a wasteful number, since it uses less digits than its factorization.

242368544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23793 (or 23785 counting only the distinct ones).

The product of its digits is 184320, while the sum is 38.

The square root of 242368544 is about 15568.1901324464. The cubic root of 242368544 is about 623.4841507071.

The spelling of 242368544 in words is "two hundred forty-two million, three hundred sixty-eight thousand, five hundred forty-four".