2001812900 has 72 divisors (see below), whose sum is σ = 4612032936. Its totient is φ = 751564800.

The previous prime is 2001812881. The next prime is 2001812909. The reversal of 2001812900 is 92181002.

It can be written as a sum of positive squares in 12 ways, for example, as 676416064 + 1325396836 = 26008^2 + 36406^2 .

It is not an unprimeable number, because it can be changed into a prime (2001812909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714302 + ... + 717098.

It is an arithmetic number, because the mean of its divisors is an integer number (64056013).

Almost surely, 2^2001812900 is an apocalyptic number.

2001812900 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 2001812900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306016468).

2001812900 is an abundant number, since it is smaller than the sum of its proper divisors (2610220036).

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

2001812900 is a wasteful number, since it uses less digits than its factorization.

2001812900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2001812900 is about 44741.6237970863. The cubic root of 2001812900 is about 1260.3016200740.

Adding to 2001812900 its reverse (92181002), we get a palindrome (2093993902).

The spelling of 2001812900 in words is "two billion, one million, eight hundred twelve thousand, nine hundred".