242525024000 has 288 divisors, whose sum is σ = 692766477312. Its totient is φ = 82874880000.

The previous prime is 242525023981. The next prime is 242525024033. The reversal of 242525024000 is 420525242.

242525024000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 74142365 + ... + 74145635.

Almost surely, 2^242525024000 is an apocalyptic number.

242525024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242525024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346383238656).

242525024000 is an abundant number, since it is smaller than the sum of its proper divisors (450241453312).

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

242525024000 is an equidigital number, since it uses as much as digits as its factorization.

242525024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

Adding to 242525024000 its reverse (420525242), we get a palindrome (242945549242).

The spelling of 242525024000 in words is "two hundred forty-two billion, five hundred twenty-five million, twenty-four thousand".