242330040 has 96 divisors (see below), whose sum is σ = 792136800. Its totient is φ = 64247040.

The previous prime is 242330027. The next prime is 242330063. The reversal of 242330040 is 40033242.

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

It is a junction number, because it is equal to n+sod(n) for n = 242329995 and 242330022.

It is a congruent number.

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, 63301 + ... + 67019.

It is an arithmetic number, because the mean of its divisors is an integer number (8251425).

Almost surely, 2^242330040 is an apocalyptic number.

242330040 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 242330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396068400).

242330040 is an abundant number, since it is smaller than the sum of its proper divisors (549806760).

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

242330040 is a wasteful number, since it uses less digits than its factorization.

242330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 242330040 is about 15566.9534591711. The cubic root of 242330040 is about 623.4511322513.

Adding to 242330040 its reverse (40033242), we get a palindrome (282363282).

The spelling of 242330040 in words is "two hundred forty-two million, three hundred thirty thousand, forty".