2005011632 has 80 divisors (see below), whose sum is σ = 4478880000. Its totient is φ = 861725952.

The previous prime is 2005011607. The next prime is 2005011703. The reversal of 2005011632 is 2361105002.

It is an unprimeable number.

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, 228869 + ... + 237467.

It is an arithmetic number, because the mean of its divisors is an integer number (55986000).

Almost surely, 2^2005011632 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 2005011632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239440000).

2005011632 is an abundant number, since it is smaller than the sum of its proper divisors (2473868368).

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

2005011632 is a wasteful number, since it uses less digits than its factorization.

2005011632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2005011632 is about 44777.3562417434. The cubic root of 2005011632 is about 1260.9725488709.

Adding to 2005011632 its reverse (2361105002), we get a palindrome (4366116634).

The spelling of 2005011632 in words is "two billion, five million, eleven thousand, six hundred thirty-two".