2301304320 has 480 divisors, whose sum is σ = 9600814080. Its totient is φ = 497664000.

The previous prime is 2301304267. The next prime is 2301304321. The reversal of 2301304320 is 234031032.

2301304320 is a `hidden beast` number, since 230 + 1 + 3 + 0 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2301304293 and 2301304302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301304321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3063945 + ... + 3064695.

It is an arithmetic number, because the mean of its divisors is an integer number (20001696).

Almost surely, 2^2301304320 is an apocalyptic number.

2301304320 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 2301304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800407040).

2301304320 is an abundant number, since it is smaller than the sum of its proper divisors (7299509760).

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

2301304320 is a wasteful number, since it uses less digits than its factorization.

2301304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2301304320 is about 47971.9117817916. The cubic root of 2301304320 is about 1320.2555978871.

Adding to 2301304320 its reverse (234031032), we get a palindrome (2535335352).

The spelling of 2301304320 in words is "two billion, three hundred one million, three hundred four thousand, three hundred twenty".