2320344113040 has 120 divisors (see below), whose sum is σ = 7792778518200. Its totient is φ = 618735439872.

The previous prime is 2320344112997. The next prime is 2320344113053. The reversal of 2320344113040 is 403114430232.

2320344113040 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 344 + 11 + 304 + 0 = 666.

2320344113040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 282496502016 + 2037847611024 = 531504^2 + 1427532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2320344112995 and 2320344113013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29371834 + ... + 29450726.

It is an arithmetic number, because the mean of its divisors is an integer number (64939820985).

Almost surely, 2^{2320344113040} is an apocalyptic number.

2320344113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320344113040 is an abundant number, since it is smaller than the sum of its proper divisors (5472434405160).

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

2320344113040 is a wasteful number, since it uses less digits than its factorization.

2320344113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119761 (or 119752 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2320344113040 its reverse (403114430232), we get a palindrome (2723458543272).

The spelling of 2320344113040 in words is "two trillion, three hundred twenty billion, three hundred forty-four million, one hundred thirteen thousand, forty".