242304413200 has 30 divisors (see below), whose sum is σ = 582136353674. Its totient is φ = 96921765120.

The previous prime is 242304413189. The next prime is 242304413213. The reversal of 242304413200 is 2314403242.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7366445584 + 234937967616 = 85828^2 + 484704^2 .

It is a super-2 number, since 2×242304413200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 302880117 + ... + 302880916.

Almost surely, 2^242304413200 is an apocalyptic number.

242304413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242304413200 is an abundant number, since it is smaller than the sum of its proper divisors (339831940474).

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

242304413200 is a wasteful number, since it uses less digits than its factorization.

242304413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605761051 (or 605761040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 242304413200 its reverse (2314403242), we get a palindrome (244618816442).

The spelling of 242304413200 in words is "two hundred forty-two billion, three hundred four million, four hundred thirteen thousand, two hundred".