2005444100 has 72 divisors (see below), whose sum is σ = 5026740768. Its totient is φ = 686348800.

The previous prime is 2005444099. The next prime is 2005444121. The reversal of 2005444100 is 14445002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 34922 + ... + 72321.

It is an arithmetic number, because the mean of its divisors is an integer number (69815844).

Almost surely, 2^2005444100 is an apocalyptic number.

2005444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005444100 is an abundant number, since it is smaller than the sum of its proper divisors (3021296668).

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

2005444100 is a wasteful number, since it uses less digits than its factorization.

2005444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107285 (or 107278 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2005444100 is about 44782.1850739778. The cubic root of 2005444100 is about 1261.0632035524.

Adding to 2005444100 its reverse (14445002), we get a palindrome (2019889102).

The spelling of 2005444100 in words is "two billion, five million, four hundred forty-four thousand, one hundred".