2305345536 has 240 divisors, whose sum is σ = 7422515100. Its totient is φ = 708673536.

The previous prime is 2305345513. The next prime is 2305345547. The reversal of 2305345536 is 6355435032.

2305345536 is a `hidden beast` number, since 2 + 30 + 53 + 45 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2203739136 + 101606400 = 46944^2 + 10080^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2305345536.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156010 + ... + 2157078.

Almost surely, 2^2305345536 is an apocalyptic number.

2305345536 is a gapful number since it is divisible by the number (26) 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 2305345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711257550).

2305345536 is an abundant number, since it is smaller than the sum of its proper divisors (5117169564).

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

2305345536 is a wasteful number, since it uses less digits than its factorization.

2305345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 2305345536 is about 48014.0139542613. The cubic root of 2305345536 is about 1321.0279595918.

The spelling of 2305345536 in words is "two billion, three hundred five million, three hundred forty-five thousand, five hundred thirty-six".