242531342240 has 96 divisors (see below), whose sum is σ = 625176631296. Its totient is φ = 88178088960.

The previous prime is 242531342219. The next prime is 242531342243. The reversal of 242531342240 is 42243135242.

242531342240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 242531342197 and 242531342206.

It is not an unprimeable number, because it can be changed into a prime (242531342243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18390689 + ... + 18403871.

It is an arithmetic number, because the mean of its divisors is an integer number (6512256576).

Almost surely, 2^242531342240 is an apocalyptic number.

242531342240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242531342240 is an abundant number, since it is smaller than the sum of its proper divisors (382645289056).

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

242531342240 is a wasteful number, since it uses less digits than its factorization.

242531342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23662 (or 23654 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 242531342240 its reverse (42243135242), we get a palindrome (284774477482).

The spelling of 242531342240 in words is "two hundred forty-two billion, five hundred thirty-one million, three hundred forty-two thousand, two hundred forty".