2011304200 has 96 divisors (see below), whose sum is σ = 4870078920. Its totient is φ = 771840000.

The previous prime is 2011304189. The next prime is 2011304209. The reversal of 2011304200 is 24031102.

It can be written as a sum of positive squares in 12 ways, for example, as 646888356 + 1364415844 = 25434^2 + 36938^2 .

It is not an unprimeable number, because it can be changed into a prime (2011304209) 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 23 ways as a sum of consecutive naturals, for example, 498190 + ... + 502210.

Almost surely, 2^2011304200 is an apocalyptic number.

2011304200 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 2011304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435039460).

2011304200 is an abundant number, since it is smaller than the sum of its proper divisors (2858774720).

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

2011304200 is a wasteful number, since it uses less digits than its factorization.

2011304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2011304200 is about 44847.5662661866. The cubic root of 2011304200 is about 1262.2903249479.

Adding to 2011304200 its reverse (24031102), we get a palindrome (2035335302).

The spelling of 2011304200 in words is "two billion, eleven million, three hundred four thousand, two hundred".