2305130400 has 180 divisors, whose sum is σ = 8406598662. Its totient is φ = 614684160.

The previous prime is 2305130389. The next prime is 2305130411. The reversal of 2305130400 is 40315032.

2305130400 is a `hidden beast` number, since 230 + 5 + 1 + 30 + 400 = 666.

2305130400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2305130389) and next prime (2305130411).

It can be written as a sum of positive squares in 3 ways, for example, as 1303787664 + 1001342736 = 36108^2 + 31644^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2305130400² = 10627252322008320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 47014 + ... + 82586.

Almost surely, 2^2305130400 is an apocalyptic number.

2305130400 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 2305130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203299331).

2305130400 is an abundant number, since it is smaller than the sum of its proper divisors (6101468262).

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

2305130400 is a wasteful number, since it uses less digits than its factorization.

2305130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35605 (or 35583 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2305130400 is about 48011.7735560768. The cubic root of 2305130400 is about 1320.9868653165.

Adding to 2305130400 its reverse (40315032), we get a palindrome (2345445432).

The spelling of 2305130400 in words is "two billion, three hundred five million, one hundred thirty thousand, four hundred".