2005004741 has 2 divisors, whose sum is σ = 2005004742. Its totient is φ = 2005004740.

The previous prime is 2005004723. The next prime is 2005004759. The reversal of 2005004741 is 1474005002.

It is a balanced prime because it is at equal distance from previous prime (2005004723) and next prime (2005004759).

It can be written as a sum of positive squares in only one way, i.e., 1959832900 + 45171841 = 44270^2 + 6721^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005004741 - 2²⁶ = 1937895877 is a prime.

It is a super-2 number, since 2×2005004741² = 8040088022864954162, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005004341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002502370 + 1002502371.

It is an arithmetic number, because the mean of its divisors is an integer number (1002502371).

Almost surely, 2^2005004741 is an apocalyptic number.

It is an amenable number.

2005004741 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005004741 is an equidigital number, since it uses as much as digits as its factorization.

2005004741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 2005004741 is about 44777.2792943028. The cubic root of 2005004741 is about 1260.9711042622.

Adding to 2005004741 its reverse (1474005002), we get a palindrome (3479009743).

The spelling of 2005004741 in words is "two billion, five million, four thousand, seven hundred forty-one".