2300704560 has 960 divisors, whose sum is σ = 10529326080. Its totient is φ = 452874240.

The previous prime is 2300704541. The next prime is 2300704577. The reversal of 2300704560 is 654070032.

It is a happy number.

2300704560 is a `hidden beast` number, since 2 + 30 + 0 + 70 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43409494 + ... + 43409546.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

Almost surely, 2^2300704560 is an apocalyptic number.

2300704560 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 2300704560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264663040).

2300704560 is an abundant number, since it is smaller than the sum of its proper divisors (8228621520).

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

2300704560 is a wasteful number, since it uses less digits than its factorization.

2300704560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2300704560 is about 47965.6602164507. The cubic root of 2300704560 is about 1320.1408940516.

Adding to 2300704560 its reverse (654070032), we get a palindrome (2954774592).

The spelling of 2300704560 in words is "two billion, three hundred million, seven hundred four thousand, five hundred sixty".