8242324240 has 40 divisors (see below), whose sum is σ = 19681340760. Its totient is φ = 3207822336.

The previous prime is 8242324219. The next prime is 8242324273. The reversal of 8242324240 is 424232428.

It can be written as a sum of positive squares in 4 ways, for example, as 345513744 + 7896810496 = 18588^2 + 88864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389325 + ... + 1395244.

It is an arithmetic number, because the mean of its divisors is an integer number (492033519).

Almost surely, 2^8242324240 is an apocalyptic number.

8242324240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8242324240 is an abundant number, since it is smaller than the sum of its proper divisors (11439016520).

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

8242324240 is a wasteful number, since it uses less digits than its factorization.

8242324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784619 (or 2784613 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The square root of 8242324240 is about 90787.2471220490. The cubic root of 8242324240 is about 2019.9931575104.

Adding to 8242324240 its reverse (424232428), we get a palindrome (8666556668).

The spelling of 8242324240 in words is "eight billion, two hundred forty-two million, three hundred twenty-four thousand, two hundred forty".