242024000 has 56 divisors (see below), whose sum is σ = 599392248. Its totient is φ = 96806400.

The previous prime is 242023997. The next prime is 242024011. The reversal of 242024000 is 420242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1401856 + 240622144 = 1184^2 + 15512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7127 + ... + 23126.

It is an arithmetic number, because the mean of its divisors is an integer number (10703433).

Almost surely, 2^242024000 is an apocalyptic number.

242024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242024000 is an abundant number, since it is smaller than the sum of its proper divisors (357368248).

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

242024000 is an equidigital number, since it uses as much as digits as its factorization.

242024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30280 (or 30260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 242024000 is about 15557.1205561955. The cubic root of 242024000 is about 623.1885683500.

Adding to 242024000 its reverse (420242), we get a palindrome (242444242).

The spelling of 242024000 in words is "two hundred forty-two million, twenty-four thousand".