2309853834 has 120 divisors (see below), whose sum is σ = 5506371684. Its totient is φ = 723168000.

The previous prime is 2309853829. The next prime is 2309853851. The reversal of 2309853834 is 4383589032.

2309853834 is a `hidden beast` number, since 23 + 0 + 98 + 538 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1636607025 + 673246809 = 40455^2 + 25947^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2309853834.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5760034 + ... + 5760434.

Almost surely, 2^2309853834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2309853834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753185842).

2309853834 is an abundant number, since it is smaller than the sum of its proper divisors (3196517850).

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

2309853834 is a wasteful number, since it uses less digits than its factorization.

2309853834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2309853834 is about 48060.9387548766. The cubic root of 2309853834 is about 1321.8885261329. Note that the first 3 decimals are identical.

The spelling of 2309853834 in words is "two billion, three hundred nine million, eight hundred fifty-three thousand, eight hundred thirty-four".