2005444304420 has 12 divisors (see below), whose sum is σ = 4211433039324. Its totient is φ = 802177721760.

The previous prime is 2005444304417. The next prime is 2005444304431. The reversal of 2005444304420 is 244034445002.

It can be written as a sum of positive squares in 2 ways, for example, as 1414058696164 + 591385608256 = 1189142^2 + 769016^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50136107591 + ... + 50136107630.

It is an arithmetic number, because the mean of its divisors is an integer number (350952753277).

Almost surely, 2^{2005444304420} is an apocalyptic number.

2005444304420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005444304420 is an abundant number, since it is smaller than the sum of its proper divisors (2205988734904).

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

2005444304420 is a wasteful number, since it uses less digits than its factorization.

2005444304420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100272215230 (or 100272215228 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 2005444304420 its reverse (244034445002), we get a palindrome (2249478749422).

The spelling of 2005444304420 in words is "two trillion, five billion, four hundred forty-four million, three hundred four thousand, four hundred twenty".