242568430272 has 336 divisors, whose sum is σ = 873197136000. Its totient is φ = 65657184768.

The previous prime is 242568430271. The next prime is 242568430283. The reversal of 242568430272 is 272034865242.

242568430272 is a `hidden beast` number, since 2 + 42 + 568 + 43 + 0 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (242568430271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1533379 + ... + 1684157.

It is an arithmetic number, because the mean of its divisors is an integer number (2598801000).

Almost surely, 2^242568430272 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 242568430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436598568000).

242568430272 is an abundant number, since it is smaller than the sum of its proper divisors (630628705728).

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

242568430272 is a wasteful number, since it uses less digits than its factorization.

242568430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150833 (or 150810 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 242568430272 in words is "two hundred forty-two billion, five hundred sixty-eight million, four hundred thirty thousand, two hundred seventy-two".