242082599688 has 96 divisors (see below), whose sum is σ = 673259747160. Its totient is φ = 78552944640.

The previous prime is 242082599687. The next prime is 242082599699. The reversal of 242082599688 is 886995280242.

242082599688 is a `hidden beast` number, since 2 + 420 + 82 + 59 + 9 + 6 + 88 = 666.

242082599688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 109165481604 + 132917118084 = 330402^2 + 364578^2 .

It is not an unprimeable number, because it can be changed into a prime (242082599687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141906 + ... + 710142.

Almost surely, 2^242082599688 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 242082599688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336629873580).

242082599688 is an abundant number, since it is smaller than the sum of its proper divisors (431177147472).

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

242082599688 is a wasteful number, since it uses less digits than its factorization.

242082599688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568407 (or 568400 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 242082599688 in words is "two hundred forty-two billion, eighty-two million, five hundred ninety-nine thousand, six hundred eighty-eight".