2005034304 has 112 divisors (see below), whose sum is σ = 6529271168. Its totient is φ = 528795648.

The previous prime is 2005034303. The next prime is 2005034321. The reversal of 2005034304 is 4034305002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005034303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39907 + ... + 74850.

It is an arithmetic number, because the mean of its divisors is an integer number (58297064).

Almost surely, 2^2005034304 is an apocalyptic number.

2005034304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005034304 is an abundant number, since it is smaller than the sum of its proper divisors (4524236864).

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

2005034304 is a wasteful number, since it uses less digits than its factorization.

2005034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114792 (or 114782 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2005034304 is about 44777.6094047014. The cubic root of 2005034304 is about 1260.9773017380.

Adding to 2005034304 its reverse (4034305002), we get a palindrome (6039339306).

The spelling of 2005034304 in words is "two billion, five million, thirty-four thousand, three hundred four".