242346240 has 216 divisors, whose sum is σ = 850569720. Its totient is φ = 63700992.

The previous prime is 242346233. The next prime is 242346253. The reversal of 242346240 is 42643242.

242346240 is a `hidden beast` number, since 2 + 4 + 2 + 34 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 222845184 = 4416^2 + 14928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255584 + ... + 1255776.

Almost surely, 2^242346240 is an apocalyptic number.

242346240 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 242346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425284860).

242346240 is an abundant number, since it is smaller than the sum of its proper divisors (608223480).

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

242346240 is a wasteful number, since it uses less digits than its factorization.

242346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 242346240 is about 15567.4737835013. The cubic root of 242346240 is about 623.4650247143.

Adding to 242346240 its reverse (42643242), we get a palindrome (284989482).

The spelling of 242346240 in words is "two hundred forty-two million, three hundred forty-six thousand, two hundred forty".