2301413200 has 30 divisors (see below), whose sum is σ = 5529146174. Its totient is φ = 920565120.

The previous prime is 2301413159. The next prime is 2301413207. The reversal of 2301413200 is 23141032.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13512976 + 2287900224 = 3676^2 + 47832^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301413207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2876367 + ... + 2877166.

Almost surely, 2^2301413200 is an apocalyptic number.

2301413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301413200 is an abundant number, since it is smaller than the sum of its proper divisors (3227732974).

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

2301413200 is a wasteful number, since it uses less digits than its factorization.

2301413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753551 (or 5753540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2301413200 is about 47973.0465991060. The cubic root of 2301413200 is about 1320.2764190016.

Adding to 2301413200 its reverse (23141032), we get a palindrome (2324554232).

The spelling of 2301413200 in words is "two billion, three hundred one million, four hundred thirteen thousand, two hundred".