2005015064 has 64 divisors (see below), whose sum is σ = 4275936000. Its totient is φ = 874406016.

The previous prime is 2005015063. The next prime is 2005015151. The reversal of 2005015064 is 4605105002.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005015063) 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, 193487 + ... + 203585.

It is an arithmetic number, because the mean of its divisors is an integer number (66811500).

Almost surely, 2^2005015064 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 2005015064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137968000).

2005015064 is an abundant number, since it is smaller than the sum of its proper divisors (2270920936).

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

2005015064 is a wasteful number, since it uses less digits than its factorization.

2005015064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2005015064 is about 44777.3945646685. The cubic root of 2005015064 is about 1260.9732683439.

The spelling of 2005015064 in words is "two billion, five million, fifteen thousand, sixty-four".