2005533312 has 64 divisors (see below), whose sum is σ = 5334975360. Its totient is φ = 667535360.

The previous prime is 2005533281. The next prime is 2005533337. The reversal of 2005533312 is 2133355002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288793 + ... + 295655.

It is an arithmetic number, because the mean of its divisors is an integer number (83358990).

Almost surely, 2^2005533312 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 2005533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667487680).

2005533312 is an abundant number, since it is smaller than the sum of its proper divisors (3329442048).

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

2005533312 is an equidigital number, since it uses as much as digits as its factorization.

2005533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7629 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2005533312 is about 44783.1811286335. The cubic root of 2005533312 is about 1261.0819027028.

Adding to 2005533312 its reverse (2133355002), we get a palindrome (4138888314).

The spelling of 2005533312 in words is "two billion, five million, five hundred thirty-three thousand, three hundred twelve".