242424024400 has 30 divisors (see below), whose sum is σ = 582423719582. Its totient is φ = 96969609600.

The previous prime is 242424024397. The next prime is 242424024413. The reversal of 242424024400 is 4420424242.

It can be written as a sum of positive squares in 3 ways, for example, as 53811008784 + 188613015616 = 231972^2 + 434296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 303029631 + ... + 303030430.

Almost surely, 2^242424024400 is an apocalyptic number.

242424024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242424024400 is an abundant number, since it is smaller than the sum of its proper divisors (339999695182).

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

242424024400 is a wasteful number, since it uses less digits than its factorization.

242424024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606060079 (or 606060068 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 242424024400 its reverse (4420424242), we get a palindrome (246844448642).

The spelling of 242424024400 in words is "two hundred forty-two billion, four hundred twenty-four million, twenty-four thousand, four hundred".