2005484259 has 16 divisors (see below), whose sum is σ = 2706026400. Its totient is φ = 1320988416.

The previous prime is 2005484233. The next prime is 2005484347. The reversal of 2005484259 is 9524845002.

2005484259 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2005484259 - 2⁸ = 2005484003 is a prime.

It is a super-2 number, since 2×2005484259² = 8043934226193558162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005484359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614877 + ... + 618129.

It is an arithmetic number, because the mean of its divisors is an integer number (169126650).

Almost surely, 2^2005484259 is an apocalyptic number.

2005484259 is a deficient number, since it is larger than the sum of its proper divisors (700542141).

2005484259 is a wasteful number, since it uses less digits than its factorization.

2005484259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654.

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2005484259 is about 44782.6334531590. The cubic root of 2005484259 is about 1261.0716210893.

The spelling of 2005484259 in words is "two billion, five million, four hundred eighty-four thousand, two hundred fifty-nine".