240242004024 has 64 divisors (see below), whose sum is σ = 655262576640. Its totient is φ = 72794261760.

The previous prime is 240242004001. The next prime is 240242004071. The reversal of 240242004024 is 420400242042.

240242004024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 240242003985 and 240242004003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3640329 + ... + 3705735.

It is an arithmetic number, because the mean of its divisors is an integer number (10238477760).

Almost surely, 2^240242004024 is an apocalyptic number.

240242004024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240242004024 is an abundant number, since it is smaller than the sum of its proper divisors (415020572616).

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

240242004024 is a wasteful number, since it uses less digits than its factorization.

240242004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79340 (or 79336 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 240242004024 its reverse (420400242042), we get a palindrome (660642246066).

The spelling of 240242004024 in words is "two hundred forty billion, two hundred forty-two million, four thousand, twenty-four".