2005630660 has 96 divisors (see below), whose sum is σ = 4714899840. Its totient is φ = 716397440.

The previous prime is 2005630643. The next prime is 2005630663. The reversal of 2005630660 is 660365002.

It is not an unprimeable number, because it can be changed into a prime (2005630663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569942 + ... + 1571218.

It is an arithmetic number, because the mean of its divisors is an integer number (49113540).

Almost surely, 2^2005630660 is an apocalyptic number.

2005630660 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 2005630660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357449920).

2005630660 is an abundant number, since it is smaller than the sum of its proper divisors (2709269180).

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

2005630660 is a wasteful number, since it uses less digits than its factorization.

2005630660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 2005630660 is about 44784.2679966972. The cubic root of 2005630660 is about 1261.1023065548.

Adding to 2005630660 its reverse (660365002), we get a palindrome (2665995662).

The spelling of 2005630660 in words is "two billion, five million, six hundred thirty thousand, six hundred sixty".