242443040 has 96 divisors (see below), whose sum is σ = 689109120. Its totient is φ = 78741504.

The previous prime is 242443039. The next prime is 242443049. The reversal of 242443040 is 40344242.

It is a junction number, because it is equal to n+sod(n) for n = 242442997 and 242443015.

It is not an unprimeable number, because it can be changed into a prime (242443049) 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, 15584 + ... + 26976.

It is an arithmetic number, because the mean of its divisors is an integer number (7178220).

Almost surely, 2^242443040 is an apocalyptic number.

242443040 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 242443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344554560).

242443040 is an abundant number, since it is smaller than the sum of its proper divisors (446666080).

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

242443040 is a wasteful number, since it uses less digits than its factorization.

242443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434 (or 11426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 242443040 is about 15570.5825196105. The cubic root of 242443040 is about 623.5480235686.

Adding to 242443040 its reverse (40344242), we get a palindrome (282787282).

The spelling of 242443040 in words is "two hundred forty-two million, four hundred forty-three thousand, forty".