2005785782 has 48 divisors (see below), whose sum is σ = 4070272416. Its totient is φ = 721353600.

The previous prime is 2005785781. The next prime is 2005785797. The reversal of 2005785782 is 2875875002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005785781) 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, 23519 + ... + 67562.

It is an arithmetic number, because the mean of its divisors is an integer number (84797342).

Almost surely, 2^2005785782 is an apocalyptic number.

2005785782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2005785782 is an abundant number, since it is smaller than the sum of its proper divisors (2064486634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005785782 is a wasteful number, since it uses less digits than its factorization.

2005785782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91125 (or 91114 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 44.

The square root of 2005785782 is about 44785.9998437012. Note that the first 3 decimals coincide. The cubic root of 2005785782 is about 1261.1348183016.

It can be divided in two parts, 2005 and 785782, that added together give a palindrome (787787).

The spelling of 2005785782 in words is "two billion, five million, seven hundred eighty-five thousand, seven hundred eighty-two".