242303796288 has 168 divisors, whose sum is σ = 702084778200. Its totient is φ = 79889817600.

The previous prime is 242303796271. The next prime is 242303796349. The reversal of 242303796288 is 882697303242.

242303796288 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 0 + 3 + 7 + 9 + 628 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69354275904 + 172949520384 = 263352^2 + 415872^2 .

It is a super-2 number, since 2×242303796288² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113383956 + ... + 113386092.

Almost surely, 2^242303796288 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 242303796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351042389100).

242303796288 is an abundant number, since it is smaller than the sum of its proper divisors (459780981912).

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

242303796288 is a wasteful number, since it uses less digits than its factorization.

242303796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 242303796288 in words is "two hundred forty-two billion, three hundred three million, seven hundred ninety-six thousand, two hundred eighty-eight".