242004240 has 160 divisors (see below), whose sum is σ = 839529600. Its totient is φ = 64074240.

The previous prime is 242004239. The next prime is 242004289. The reversal of 242004240 is 42400242.

242004240 is a `hidden beast` number, since 2 + 420 + 0 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390651 + ... + 391269.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2^242004240 is an apocalyptic number.

242004240 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 242004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419764800).

242004240 is an abundant number, since it is smaller than the sum of its proper divisors (597525360).

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

242004240 is a wasteful number, since it uses less digits than its factorization.

242004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 242004240 is about 15556.4854642686. The cubic root of 242004240 is about 623.1716078540.

Adding to 242004240 its reverse (42400242), we get a palindrome (284404482).

The spelling of 242004240 in words is "two hundred forty-two million, four thousand, two hundred forty".