2005126314 has 64 divisors (see below), whose sum is σ = 4246290432. Its totient is φ = 630273600.

The previous prime is 2005126313. The next prime is 2005126327. The reversal of 2005126314 is 4136215002.

It is not an unprimeable number, because it can be changed into a prime (2005126313) 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, 3033144 + ... + 3033804.

It is an arithmetic number, because the mean of its divisors is an integer number (66348288).

Almost surely, 2^2005126314 is an apocalyptic number.

2005126314 is an abundant number, since it is smaller than the sum of its proper divisors (2241164118).

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

2005126314 is a wasteful number, since it uses less digits than its factorization.

2005126314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2005126314 is about 44778.6368037259. The cubic root of 2005126314 is about 1260.9965899777.

The spelling of 2005126314 in words is "two billion, five million, one hundred twenty-six thousand, three hundred fourteen".