240442240 has 64 divisors (see below), whose sum is σ = 588242160. Its totient is φ = 93929472.

The previous prime is 240442229. The next prime is 240442289. The reversal of 240442240 is 42244042.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23152 + ... + 31888.

Almost surely, 2^240442240 is an apocalyptic number.

240442240 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 240442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294121080).

240442240 is an abundant number, since it is smaller than the sum of its proper divisors (347799920).

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

240442240 is an equidigital number, since it uses as much as digits as its factorization.

240442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 240442240 is about 15506.2000503025. The cubic root of 240442240 is about 621.8279732290.

Adding to 240442240 its reverse (42244042), we get a palindrome (282686282).

It can be divided in two parts, 2404 and 42240, that added together give a palindrome (44644).

The spelling of 240442240 in words is "two hundred forty million, four hundred forty-two thousand, two hundred forty".