242344511504 has 80 divisors (see below), whose sum is σ = 484898808240. Its totient is φ = 117261312000.

The previous prime is 242344511503. The next prime is 242344511527. The reversal of 242344511504 is 405115443242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1114224400 + 241230287104 = 33380^2 + 491152^2 .

It is a super-2 number, since 2×242344511504² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242344511501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42210074 + ... + 42215814.

It is an arithmetic number, because the mean of its divisors is an integer number (6061235103).

Almost surely, 2^242344511504 is an apocalyptic number.

It is an amenable number.

242344511504 is an abundant number, since it is smaller than the sum of its proper divisors (242554296736).

242344511504 is a wasteful number, since it uses less digits than its factorization.

242344511504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 242344511504 its reverse (405115443242), we get a palindrome (647459954746).

The spelling of 242344511504 in words is "two hundred forty-two billion, three hundred forty-four million, five hundred eleven thousand, five hundred four".