242524534400 has 48 divisors (see below), whose sum is σ = 599111396790. Its totient is φ = 97009812480.

The previous prime is 242524534319. The next prime is 242524534459. The reversal of 242524534400 is 4435425242.

242524534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 221735508544 + 20789025856 = 470888^2 + 144184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37891259 + ... + 37897658.

Almost surely, 2^242524534400 is an apocalyptic number.

242524534400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242524534400 is an abundant number, since it is smaller than the sum of its proper divisors (356586862390).

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

242524534400 is an equidigital number, since it uses as much as digits as its factorization.

242524534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75788941 (or 75788924 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 242524534400 its reverse (4435425242), we get a palindrome (246959959642).

The spelling of 242524534400 in words is "two hundred forty-two billion, five hundred twenty-four million, five hundred thirty-four thousand, four hundred".