242240240 has 80 divisors (see below), whose sum is σ = 618817536. Its totient is φ = 87456000.

The previous prime is 242240239. The next prime is 242240261. The reversal of 242240240 is 42042242.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 131969 + ... + 133791.

Almost surely, 2^242240240 is an apocalyptic number.

242240240 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 242240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309408768).

242240240 is an abundant number, since it is smaller than the sum of its proper divisors (376577296).

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

242240240 is a wasteful number, since it uses less digits than its factorization.

242240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242240240 is about 15564.0688767430. The cubic root of 242240240 is about 623.3741121831.

Adding to 242240240 its reverse (42042242), we get a palindrome (284282482).

The spelling of 242240240 in words is "two hundred forty-two million, two hundred forty thousand, two hundred forty".