2305345500 has 144 divisors (see below), whose sum is σ = 7294813344. Its totient is φ = 612883200.

The previous prime is 2305345481. The next prime is 2305345513. The reversal of 2305345500 is 55435032.

2305345500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2100952 + ... + 2102048.

It is an arithmetic number, because the mean of its divisors is an integer number (50658426).

Almost surely, 2^2305345500 is an apocalyptic number.

2305345500 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 2305345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647406672).

2305345500 is an abundant number, since it is smaller than the sum of its proper divisors (4989467844).

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

2305345500 is a wasteful number, since it uses less digits than its factorization.

2305345500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 2305345500 is about 48014.0135793708. The cubic root of 2305345500 is about 1321.0279527154.

The spelling of 2305345500 in words is "two billion, three hundred five million, three hundred forty-five thousand, five hundred".