242305306304 has 112 divisors (see below), whose sum is σ = 516232932480. Its totient is φ = 112434216960.

The previous prime is 242305306261. The next prime is 242305306319. The reversal of 242305306304 is 403603503242.

It is a super-2 number, since 2×242305306304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91193744 + ... + 91196400.

Almost surely, 2^242305306304 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 242305306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258116466240).

242305306304 is an abundant number, since it is smaller than the sum of its proper divisors (273927626176).

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

242305306304 is a wasteful number, since it uses less digits than its factorization.

242305306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 242305306304 its reverse (403603503242), we get a palindrome (645908809546).

The spelling of 242305306304 in words is "two hundred forty-two billion, three hundred five million, three hundred six thousand, three hundred four".