242001302240 has 48 divisors (see below), whose sum is σ = 605359146672. Its totient is φ = 91106371584.

The previous prime is 242001302203. The next prime is 242001302287. The reversal of 242001302240 is 42203100242.

242001302240 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44482814 + ... + 44488253.

It is an arithmetic number, because the mean of its divisors is an integer number (12611648889).

Almost surely, 2^242001302240 is an apocalyptic number.

242001302240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242001302240 is an abundant number, since it is smaller than the sum of its proper divisors (363357844432).

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

242001302240 is a wasteful number, since it uses less digits than its factorization.

242001302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88971099 (or 88971091 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242001302240 its reverse (42203100242), we get a palindrome (284204402482).

The spelling of 242001302240 in words is "two hundred forty-two billion, one million, three hundred two thousand, two hundred forty".