242257966272 has 504 divisors, whose sum is σ = 834956452512. Its totient is φ = 66924748800.

The previous prime is 242257966271. The next prime is 242257966273. The reversal of 242257966272 is 272669752242.

242257966272 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 5 + 7 + 9 + 6 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (242257966271) and next prime (242257966273).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (242257966271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106205772 + ... + 106208052.

It is an arithmetic number, because the mean of its divisors is an integer number (1656659628).

Almost surely, 2^242257966272 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 242257966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417478226256).

242257966272 is an abundant number, since it is smaller than the sum of its proper divisors (592698486240).

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

242257966272 is a wasteful number, since it uses less digits than its factorization.

242257966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2417 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 242257966272 in words is "two hundred forty-two billion, two hundred fifty-seven million, nine hundred sixty-six thousand, two hundred seventy-two".