242340240 has 80 divisors (see below), whose sum is σ = 777182400. Its totient is φ = 62393856.

The previous prime is 242340229. The next prime is 242340247. The reversal of 242340240 is 42043242.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (242340247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10450 + ... + 24369.

It is an arithmetic number, because the mean of its divisors is an integer number (9714780).

Almost surely, 2^242340240 is an apocalyptic number.

242340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242340240 is an abundant number, since it is smaller than the sum of its proper divisors (534842160).

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

242340240 is a wasteful number, since it uses less digits than its factorization.

242340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34864 (or 34858 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242340240 is about 15567.2810728142. The cubic root of 242340240 is about 623.4598794298.

Adding to 242340240 its reverse (42043242), we get a palindrome (284383482).

The spelling of 242340240 in words is "two hundred forty-two million, three hundred forty thousand, two hundred forty".