2005435041 has 16 divisors (see below), whose sum is σ = 2726856576. Its totient is φ = 1310531456.

The previous prime is 2005435027. The next prime is 2005435063. The reversal of 2005435041 is 1405345002.

It is a cyclic number.

It is not a de Polignac number, because 2005435041 - 2¹⁹ = 2004910753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005435241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 189301 + ... + 199613.

It is an arithmetic number, because the mean of its divisors is an integer number (170428536).

Almost surely, 2^2005435041 is an apocalyptic number.

It is an amenable number.

2005435041 is a deficient number, since it is larger than the sum of its proper divisors (721421535).

2005435041 is a wasteful number, since it uses less digits than its factorization.

2005435041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11592.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2005435041 is about 44782.0839287320. The cubic root of 2005435041 is about 1261.0613047230.

The spelling of 2005435041 in words is "two billion, five million, four hundred thirty-five thousand, forty-one".