24240 has 40 divisors (see below), whose sum is σ = 75888. Its totient is φ = 6400.

The previous prime is 24239. The next prime is 24247. The reversal of 24240 is 4242.

24240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (24247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 290.

2²⁴²⁴⁰ is an apocalyptic number.

24240 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 24240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944).

24240 is an abundant number, since it is smaller than the sum of its proper divisors (51648).

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

24240 is a wasteful number, since it uses less digits than its factorization.

24240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 24240 is about 155.6920036482. The cubic root of 24240 is about 28.9408226464.

Adding to 24240 its reverse (4242), we get a palindrome (28482).

It can be divided in two parts, 242 and 40, that added together give a palindrome (282).

The spelling of 24240 in words is "twenty-four thousand, two hundred forty", and thus it is an iban number.