2005516288 has 60 divisors (see below), whose sum is σ = 4051311880. Its totient is φ = 992673792.

The previous prime is 2005516283. The next prime is 2005516307. The reversal of 2005516288 is 8826155002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005516283) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1785295 + ... + 1786417.

Almost surely, 2^2005516288 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 2005516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025655940).

2005516288 is an abundant number, since it is smaller than the sum of its proper divisors (2045795592).

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

2005516288 is an equidigital number, since it uses as much as digits as its factorization.

2005516288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 2005516288 is about 44782.9910568734. The cubic root of 2005516288 is about 1261.0783344550.

The spelling of 2005516288 in words is "two billion, five million, five hundred sixteen thousand, two hundred eighty-eight".