242145040 has 60 divisors (see below), whose sum is σ = 576736524. Its totient is φ = 94547712.

The previous prime is 242145019. The next prime is 242145049. The reversal of 242145040 is 40541242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 203804176 = 6192^2 + 14276^2 .

It is not an unprimeable number, because it can be changed into a prime (242145049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147102 + ... + 148738.

Almost surely, 2^242145040 is an apocalyptic number.

242145040 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 242145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288368262).

242145040 is an abundant number, since it is smaller than the sum of its proper divisors (334591484).

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

242145040 is a wasteful number, since it uses less digits than its factorization.

242145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 242145040 is about 15561.0102499806. The cubic root of 242145040 is about 623.2924398298.

Adding to 242145040 its reverse (40541242), we get a palindrome (282686282).

The spelling of 242145040 in words is "two hundred forty-two million, one hundred forty-five thousand, forty".