2005479289 has 12 divisors (see below), whose sum is σ = 2258140500. Its totient is φ = 1778691200.

The previous prime is 2005479271. The next prime is 2005479293. The reversal of 2005479289 is 9829745002.

It can be written as a sum of positive squares in 2 ways, for example, as 1123389289 + 882090000 = 33517^2 + 29700^2 .

It is not a de Polignac number, because 2005479289 - 2⁵ = 2005479257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005479269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197164 + ... + 207085.

It is an arithmetic number, because the mean of its divisors is an integer number (188178375).

Almost surely, 2^2005479289 is an apocalyptic number.

It is an amenable number.

2005479289 is a deficient number, since it is larger than the sum of its proper divisors (252661211).

2005479289 is a wasteful number, since it uses less digits than its factorization.

2005479289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404312 (or 404301 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 2005479289 is about 44782.5779628641. The cubic root of 2005479289 is about 1261.0705793573.

The spelling of 2005479289 in words is "two billion, five million, four hundred seventy-nine thousand, two hundred eighty-nine".