2005307712 has 56 divisors (see below), whose sum is σ = 5895238400. Its totient is φ = 668435328.

The previous prime is 2005307669. The next prime is 2005307767. The reversal of 2005307712 is 2177035002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578512 + ... + 581967.

Almost surely, 2^2005307712 is an apocalyptic number.

It is an amenable number.

2005307712 is an abundant number, since it is smaller than the sum of its proper divisors (3889930688).

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

2005307712 is a wasteful number, since it uses less digits than its factorization.

2005307712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160500 (or 1160484 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2005307712 is about 44780.6622550404. The cubic root of 2005307712 is about 1261.0346150738.

The spelling of 2005307712 in words is "two billion, five million, three hundred seven thousand, seven hundred twelve".