242317007601720 has 256 divisors, whose sum is σ = 820062264960000. Its totient is φ = 56972745916416.

The previous prime is 242317007601677. The next prime is 242317007601791. The reversal of 242317007601720 is 27106700713242.

It is a super-2 number, since 2×242317007601720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60503545 + ... + 64384104.

It is an arithmetic number, because the mean of its divisors is an integer number (3203368222500).

Almost surely, 2^{242317007601720} is an apocalyptic number.

242317007601720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242317007601720 is an abundant number, since it is smaller than the sum of its proper divisors (577745257358280).

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

242317007601720 is a wasteful number, since it uses less digits than its factorization.

242317007601720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124887742 (or 124887738 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 242317007601720 in words is "two hundred forty-two trillion, three hundred seventeen billion, seven million, six hundred one thousand, seven hundred twenty".