240002304 has 144 divisors (see below), whose sum is σ = 669123840. Its totient is φ = 76308480.

The previous prime is 240002303. The next prime is 240002317. The reversal of 240002304 is 403200042.

It is a happy number.

It is a super-2 number, since 2×240002304² = 115202211850616832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240002303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2201802 + ... + 2201910.

Almost surely, 2^240002304 is an apocalyptic number.

240002304 is a gapful number since it is divisible by the number (24) 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 240002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334561920).

240002304 is an abundant number, since it is smaller than the sum of its proper divisors (429121536).

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

240002304 is a wasteful number, since it uses less digits than its factorization.

240002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 240002304 is about 15492.0077459314. The cubic root of 240002304 is about 621.4484898132.

Adding to 240002304 its reverse (403200042), we get a palindrome (643202346).

The spelling of 240002304 in words is "two hundred forty million, two thousand, three hundred four".