2000441200 has 60 divisors (see below), whose sum is σ = 4816801080. Its totient is φ = 798388480.

The previous prime is 2000441173. The next prime is 2000441203. The reversal of 2000441200 is 21440002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000441203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181446 + ... + 192154.

It is an arithmetic number, because the mean of its divisors is an integer number (80280018).

Almost surely, 2^2000441200 is an apocalyptic number.

2000441200 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 2000441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408400540).

2000441200 is an abundant number, since it is smaller than the sum of its proper divisors (2816359880).

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

2000441200 is a wasteful number, since it uses less digits than its factorization.

2000441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11194 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2000441200 is about 44726.2920439421. The cubic root of 2000441200 is about 1260.0136892777.

Adding to 2000441200 its reverse (21440002), we get a palindrome (2021881202).

The spelling of 2000441200 in words is "two billion, four hundred forty-one thousand, two hundred".