2005523560 has 32 divisors (see below), whose sum is σ = 4514776200. Its totient is φ = 801792000.

The previous prime is 2005523557. The next prime is 2005523603. The reversal of 2005523560 is 653255002.

It can be written as a sum of positive squares in 4 ways, for example, as 1747407204 + 258116356 = 41802^2 + 16066^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71560 + ... + 95560.

Almost surely, 2^2005523560 is an apocalyptic number.

2005523560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005523560 is an abundant number, since it is smaller than the sum of its proper divisors (2509252640).

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

2005523560 is a wasteful number, since it uses less digits than its factorization.

2005523560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26101 (or 26097 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 2005523560 is about 44783.0722483396. The cubic root of 2005523560 is about 1261.0798586761.

Adding to 2005523560 its reverse (653255002), we get a palindrome (2658778562).

The spelling of 2005523560 in words is "two billion, five million, five hundred twenty-three thousand, five hundred sixty".