2005541041 has 24 divisors (see below), whose sum is σ = 2403979560. Its totient is φ = 1667457792.

The previous prime is 2005541033. The next prime is 2005541053. The reversal of 2005541041 is 1401455002.

It can be written as a sum of positive squares in 4 ways, for example, as 93315600 + 1912225441 = 9660^2 + 43729^2 .

It is not a de Polignac number, because 2005541041 - 2³ = 2005541033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005545041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226795 + ... + 235471.

It is an arithmetic number, because the mean of its divisors is an integer number (100165815).

Almost surely, 2^2005541041 is an apocalyptic number.

It is an amenable number.

2005541041 is a deficient number, since it is larger than the sum of its proper divisors (398438519).

2005541041 is an equidigital number, since it uses as much as digits as its factorization.

2005541041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2005541041 is about 44783.2674221076. The cubic root of 2005541041 is about 1261.0835227024.

Adding to 2005541041 its reverse (1401455002), we get a palindrome (3406996043).

The spelling of 2005541041 in words is "two billion, five million, five hundred forty-one thousand, forty-one".