2005205241 has 16 divisors (see below), whose sum is σ = 2886887360. Its totient is φ = 1230707520.

The previous prime is 2005205221. The next prime is 2005205281. The reversal of 2005205241 is 1425025002.

It is a happy number.

It is not a de Polignac number, because 2005205241 - 2²¹ = 2003108089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005205201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53050 + ... + 82611.

It is an arithmetic number, because the mean of its divisors is an integer number (180430460).

Almost surely, 2^2005205241 is an apocalyptic number.

It is an amenable number.

2005205241 is a deficient number, since it is larger than the sum of its proper divisors (881682119).

2005205241 is a wasteful number, since it uses less digits than its factorization.

2005205241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136056.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2005205241 is about 44779.5180970050. The cubic root of 2005205241 is about 1261.0131351319.

It can be divided in two parts, 200520 and 5241, that added together give a triangular number (205761 = T₆₄₁).

The spelling of 2005205241 in words is "two billion, five million, two hundred five thousand, two hundred forty-one".