242424240 has 160 divisors (see below), whose sum is σ = 774968256. Its totient is φ = 62668800.

The previous prime is 242424181. The next prime is 242424241. The reversal of 242424240 is 42424242.

242424240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242424240.

It is not an unprimeable number, because it can be changed into a prime (242424241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1769452 + ... + 1769588.

Almost surely, 2^242424240 is an apocalyptic number.

242424240 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 242424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387484128).

242424240 is an abundant number, since it is smaller than the sum of its proper divisors (532544016).

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

242424240 is a wasteful number, since it uses less digits than its factorization.

242424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 242424240 is about 15569.9788053806. The cubic root of 242424240 is about 623.5319056853.

Adding to 242424240 its reverse (42424242), we get a palindrome (284848482).

It can be divided in two parts, 24242 and 4240, that added together give a palindrome (28482).

The spelling of 242424240 in words is "two hundred forty-two million, four hundred twenty-four thousand, two hundred forty".