2313085040640 has 1344 divisors, whose sum is σ = 9617531021280. Its totient is φ = 527444213760.

The previous prime is 2313085040639. The next prime is 2313085040671. The reversal of 2313085040640 is 460405803132.

2313085040640 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 0 + 8 + 5 + 0 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2313085040595 and 2313085040604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1395946692 + ... + 1395948348.

Almost surely, 2^{2313085040640} is an apocalyptic number.

2313085040640 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 2313085040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808765510640).

2313085040640 is an abundant number, since it is smaller than the sum of its proper divisors (7304445980640).

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

2313085040640 is a wasteful number, since it uses less digits than its factorization.

2313085040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2313085040640 in words is "two trillion, three hundred thirteen billion, eighty-five million, forty thousand, six hundred forty".