2305943640 has 896 divisors, whose sum is σ = 10576742400. Its totient is φ = 436700160.

The previous prime is 2305943639. The next prime is 2305943741. The reversal of 2305943640 is 463495032.

2305943640 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 9 + 4 + 3 + 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 = 2305943595 and 2305943604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29189121 + ... + 29189199.

It is an arithmetic number, because the mean of its divisors is an integer number (11804400).

Almost surely, 2^2305943640 is an apocalyptic number.

2305943640 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 2305943640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288371200).

2305943640 is an abundant number, since it is smaller than the sum of its proper divisors (8270798760).

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

2305943640 is a wasteful number, since it uses less digits than its factorization.

2305943640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2305943640 is about 48020.2419818976. The cubic root of 2305943640 is about 1321.1421931958.

The spelling of 2305943640 in words is "two billion, three hundred five million, nine hundred forty-three thousand, six hundred forty".