242752105600 has 48 divisors (see below), whose sum is σ = 599673568770. Its totient is φ = 97100840960.

The previous prime is 242752105549. The next prime is 242752105601. The reversal of 242752105600 is 6501257242.

It can be written as a sum of positive squares in 3 ways, for example, as 218732065344 + 24020040256 = 467688^2 + 154984^2 .

It is not an unprimeable number, because it can be changed into a prime (242752105601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37926817 + ... + 37933216.

Almost surely, 2^242752105600 is an apocalyptic number.

242752105600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242752105600 is an abundant number, since it is smaller than the sum of its proper divisors (356921463170).

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

242752105600 is an equidigital number, since it uses as much as digits as its factorization.

242752105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75860057 (or 75860040 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 242752105600 in words is "two hundred forty-two billion, seven hundred fifty-two million, one hundred five thousand, six hundred".