2005044400 has 60 divisors (see below), whose sum is σ = 4841518000. Its totient is φ = 797955840.

The previous prime is 2005044397. The next prime is 2005044401. The reversal of 2005044400 is 44405002.

It is not an unprimeable number, because it can be changed into a prime (2005044401) 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, 67006 + ... + 92194.

Almost surely, 2^2005044400 is an apocalyptic number.

2005044400 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 2005044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420759000).

2005044400 is an abundant number, since it is smaller than the sum of its proper divisors (2836473600).

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

2005044400 is a wasteful number, since it uses less digits than its factorization.

2005044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25406 (or 25395 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2005044400 is about 44777.7221394747. The cubic root of 2005044400 is about 1260.9794182115.

Adding to 2005044400 its reverse (44405002), we get a palindrome (2049449402).

The spelling of 2005044400 in words is "two billion, five million, forty-four thousand, four hundred".