242640112 has 80 divisors (see below), whose sum is σ = 556401888. Its totient is φ = 101053440.

The previous prime is 242640109. The next prime is 242640113. The reversal of 242640112 is 211046242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242640113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395518 + ... + 396130.

Almost surely, 2^242640112 is an apocalyptic number.

242640112 is a gapful number since it is divisible by the number (22) 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 242640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278200944).

242640112 is an abundant number, since it is smaller than the sum of its proper divisors (313761776).

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

242640112 is a wasteful number, since it uses less digits than its factorization.

242640112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 242640112 is about 15576.9095779619. The cubic root of 242640112 is about 623.7169300127.

Adding to 242640112 its reverse (211046242), we get a palindrome (453686354).

The spelling of 242640112 in words is "two hundred forty-two million, six hundred forty thousand, one hundred twelve".