2005969904 has 40 divisors (see below), whose sum is σ = 4033804320. Its totient is φ = 965216000.

The previous prime is 2005969841. The next prime is 2005969907. The reversal of 2005969904 is 4099695002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005969907) 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 7 ways as a sum of consecutive naturals, for example, 137354 + ... + 151254.

It is an arithmetic number, because the mean of its divisors is an integer number (100845108).

Almost surely, 2^2005969904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005969904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016902160).

2005969904 is an abundant number, since it is smaller than the sum of its proper divisors (2027834416).

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

2005969904 is a wasteful number, since it uses less digits than its factorization.

2005969904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14249 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 2005969904 is about 44788.0553719404. The cubic root of 2005969904 is about 1261.1734059319.

The spelling of 2005969904 in words is "two billion, five million, nine hundred sixty-nine thousand, nine hundred four".