2005003029 has 16 divisors (see below), whose sum is σ = 2707891200. Its totient is φ = 1319420016.

The previous prime is 2005003019. The next prime is 2005003031. The reversal of 2005003029 is 9203005002.

It is not a de Polignac number, because 2005003029 - 2¹⁹ = 2004478741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005002996 and 2005003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005003019) 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 15 ways as a sum of consecutive naturals, for example, 360532 + ... + 366050.

It is an arithmetic number, because the mean of its divisors is an integer number (169243200).

Almost surely, 2^2005003029 is an apocalyptic number.

It is an amenable number.

2005003029 is a deficient number, since it is larger than the sum of its proper divisors (702888171).

2005003029 is a wasteful number, since it uses less digits than its factorization.

2005003029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2005003029 is about 44777.2601774606. The cubic root of 2005003029 is about 1260.9707453631.

The spelling of 2005003029 in words is "two billion, five million, three thousand, twenty-nine".