242292727656 has 640 divisors, whose sum is σ = 841106688000. Its totient is φ = 64428110208.

The previous prime is 242292727601. The next prime is 242292727657. The reversal of 242292727656 is 656727292242.

242292727656 is a `hidden beast` number, since 2 + 422 + 92 + 72 + 7 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242292727657) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 660197985 + ... + 660198351.

It is an arithmetic number, because the mean of its divisors is an integer number (1314229200).

Almost surely, 2^242292727656 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 242292727656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420553344000).

242292727656 is an abundant number, since it is smaller than the sum of its proper divisors (598813960344).

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

242292727656 is a wasteful number, since it uses less digits than its factorization.

242292727656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 465 counting only the distinct ones).

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

The spelling of 242292727656 in words is "two hundred forty-two billion, two hundred ninety-two million, seven hundred twenty-seven thousand, six hundred fifty-six".