242102302304 has 48 divisors (see below), whose sum is σ = 485947340928. Its totient is φ = 118690071552.

The previous prime is 242102302301. The next prime is 242102302313. The reversal of 242102302304 is 403203201242.

It is a super-2 number, since 2×242102302304² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242102302304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242102302301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2612084 + ... + 2703180.

It is an arithmetic number, because the mean of its divisors is an integer number (10123902936).

Almost surely, 2^242102302304 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 242102302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242973670464).

242102302304 is an abundant number, since it is smaller than the sum of its proper divisors (243845038624).

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

242102302304 is a wasteful number, since it uses less digits than its factorization.

242102302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92727 (or 92719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 242102302304 its reverse (403203201242), we get a palindrome (645305503546).

The spelling of 242102302304 in words is "two hundred forty-two billion, one hundred two million, three hundred two thousand, three hundred four".