2005040710791 has 24 divisors (see below), whose sum is σ = 3066743968704. Its totient is φ = 1257978147840.

The previous prime is 2005040710769. The next prime is 2005040710793. The reversal of 2005040710791 is 1970170405002.

It is a happy number.

It is not a de Polignac number, because 2005040710791 - 2⁷ = 2005040710663 is a prime.

It is a super-3 number, since 3×2005040710791³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005040710793) 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, 1815631 + ... + 2703071.

It is an arithmetic number, because the mean of its divisors is an integer number (127780998696).

Almost surely, 2^{2005040710791} is an apocalyptic number.

2005040710791 is a deficient number, since it is larger than the sum of its proper divisors (1061703257913).

2005040710791 is a wasteful number, since it uses less digits than its factorization.

2005040710791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902231 (or 902228 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 2005040710791 in words is "two trillion, five billion, forty million, seven hundred ten thousand, seven hundred ninety-one".