242015040 has 140 divisors (see below), whose sum is σ = 860982276. Its totient is φ = 64530432.

The previous prime is 242014979. The next prime is 242015057. The reversal of 242015040 is 40510242.

242015040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 169833024 + 72182016 = 13032^2 + 8496^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21252 + ... + 30588.

Almost surely, 2^242015040 is an apocalyptic number.

242015040 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 242015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430491138).

242015040 is an abundant number, since it is smaller than the sum of its proper divisors (618967236).

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

242015040 is an equidigital number, since it uses as much as digits as its factorization.

242015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242015040 is about 15556.8325825021. The cubic root of 242015040 is about 623.1808778751.

Adding to 242015040 its reverse (40510242), we get a palindrome (282525282).

It can be divided in two parts, 24201 and 5040, that added together give a square (29241 = 171²).

The spelling of 242015040 in words is "two hundred forty-two million, fifteen thousand, forty".