2005540 has 24 divisors (see below), whose sum is σ = 4246200. Its totient is φ = 795648.

The previous prime is 2005519. The next prime is 2005547. The reversal of 2005540 is 455002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 2005056 = 22^2 + 1416^2 .

It is not an unprimeable number, because it can be changed into a prime (2005547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2644 + ... + 3316.

It is an arithmetic number, because the mean of its divisors is an integer number (176925).

2^2005540 is an apocalyptic number.

2005540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005540 is an abundant number, since it is smaller than the sum of its proper divisors (2240660).

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

2005540 is a wasteful number, since it uses less digits than its factorization.

2005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2005540 is about 1416.1708936424. The cubic root of 2005540 is about 126.1083304509.

The spelling of 2005540 in words is "two million, five thousand, five hundred forty".