242315601792 has 256 divisors, whose sum is σ = 709184229120. Its totient is φ = 72698757120.

The previous prime is 242315601767. The next prime is 242315601797. The reversal of 242315601792 is 297106513242.

It is a happy number.

It is a super-2 number, since 2×242315601792² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242315601797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243044238 + ... + 243045234.

It is an arithmetic number, because the mean of its divisors is an integer number (2770250895).

Almost surely, 2^242315601792 is an apocalyptic number.

242315601792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242315601792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354592114560).

242315601792 is an abundant number, since it is smaller than the sum of its proper divisors (466868627328).

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

242315601792 is a wasteful number, since it uses less digits than its factorization.

242315601792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 242315601792 in words is "two hundred forty-two billion, three hundred fifteen million, six hundred one thousand, seven hundred ninety-two".