2309912640 has 560 divisors, whose sum is σ = 9736531200. Its totient is φ = 508612608.

The previous prime is 2309912639. The next prime is 2309912677. The reversal of 2309912640 is 462199032.

2309912640 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 9 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 2309912595 and 2309912604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5261541 + ... + 5261979.

Almost surely, 2^2309912640 is an apocalyptic number.

2309912640 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 2309912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868265600).

2309912640 is an abundant number, since it is smaller than the sum of its proper divisors (7426618560).

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

2309912640 is a wasteful number, since it uses less digits than its factorization.

2309912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2309912640 is about 48061.5505367856. The cubic root of 2309912640 is about 1321.8997439159.

The spelling of 2309912640 in words is "two billion, three hundred nine million, nine hundred twelve thousand, six hundred forty".