2005530660 has 288 divisors, whose sum is σ = 7138639872. Its totient is φ = 446342400.

The previous prime is 2005530643. The next prime is 2005530671. The reversal of 2005530660 is 660355002.

2005530660 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13281585 + ... + 13281735.

It is an arithmetic number, because the mean of its divisors is an integer number (24786944).

Almost surely, 2^2005530660 is an apocalyptic number.

2005530660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005530660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569319936).

2005530660 is an abundant number, since it is smaller than the sum of its proper divisors (5133109212).

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

2005530660 is a wasteful number, since it uses less digits than its factorization.

2005530660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2005530660 is about 44783.1515192935. The cubic root of 2005530660 is about 1261.0813468422.

Adding to 2005530660 its reverse (660355002), we get a palindrome (2665885662).

The spelling of 2005530660 in words is "two billion, five million, five hundred thirty thousand, six hundred sixty".