2005716741 has 32 divisors (see below), whose sum is σ = 3271756800. Its totient is φ = 1067385600.

The previous prime is 2005716733. The next prime is 2005716751. The reversal of 2005716741 is 1476175002.

It is not a de Polignac number, because 2005716741 - 2³ = 2005716733 is a prime.

It is a super-2 number, since 2×2005716741² = 8045799290255322162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005716731) 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 in 31 ways as a sum of consecutive naturals, for example, 19060 + ... + 66141.

It is an arithmetic number, because the mean of its divisors is an integer number (102242400).

Almost surely, 2^2005716741 is an apocalyptic number.

2005716741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2005716741 is a deficient number, since it is larger than the sum of its proper divisors (1266040059).

2005716741 is a wasteful number, since it uses less digits than its factorization.

2005716741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85289.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 2005716741 is about 44785.2290493194. The cubic root of 2005716741 is about 1261.1203483270.

The spelling of 2005716741 in words is "two billion, five million, seven hundred sixteen thousand, seven hundred forty-one".