242240222400 has 168 divisors, whose sum is σ = 866999966784. Its totient is φ = 58724889600.

The previous prime is 242240222377. The next prime is 242240222417. The reversal of 242240222400 is 4222042242.

242240222400 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2241142 + ... + 2346741.

It is an arithmetic number, because the mean of its divisors is an integer number (5160714088).

Almost surely, 2^242240222400 is an apocalyptic number.

242240222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242240222400 is an abundant number, since it is smaller than the sum of its proper divisors (624759744384).

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

242240222400 is a wasteful number, since it uses less digits than its factorization.

242240222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587919 (or 4587904 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 242240222400 its reverse (4222042242), we get a palindrome (246462264642).

The spelling of 242240222400 in words is "two hundred forty-two billion, two hundred forty million, two hundred twenty-two thousand, four hundred".