2313024004000 has 96 divisors (see below), whose sum is σ = 5686473448656. Its totient is φ = 924660403200.

The previous prime is 2313024003973. The next prime is 2313024004021. The reversal of 2313024004000 is 4004203132.

2313024004000 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 8 ways, for example, as 33757447824 + 2279266556176 = 183732^2 + 1509724^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6601222 + ... + 6942778.

Almost surely, 2^{2313024004000} is an apocalyptic number.

2313024004000 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 2313024004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843236724328).

2313024004000 is an abundant number, since it is smaller than the sum of its proper divisors (3373449444656).

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

2313024004000 is a wasteful number, since it uses less digits than its factorization.

2313024004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343275 (or 343257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2313024004000 its reverse (4004203132), we get a palindrome (2317028207132).

The spelling of 2313024004000 in words is "two trillion, three hundred thirteen billion, twenty-four million, four thousand".