2005560 has 80 divisors (see below), whose sum is σ = 6751800. Its totient is φ = 533952.

The previous prime is 2005559. The next prime is 2005567. The reversal of 2005560 is 655002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005567) 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 19 ways as a sum of consecutive naturals, for example, 2931 + ... + 3549.

2^2005560 is an apocalyptic number.

2005560 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 2005560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375900).

2005560 is an abundant number, since it is smaller than the sum of its proper divisors (4746240).

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

2005560 is a wasteful number, since it uses less digits than its factorization.

2005560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2005560 is about 1416.1779549195. The cubic root of 2005560 is about 126.1087496494.

The spelling of 2005560 in words is "two million, five thousand, five hundred sixty".