2005640 has 128 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 580608.

The previous prime is 2005613. The next prime is 2005667. The reversal of 2005640 is 465002.

2005640 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (2005613) and next prime (2005667).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69146 + ... + 69174.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2^2005640 is an apocalyptic number.

2005640 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 2005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2005640 is an abundant number, since it is smaller than the sum of its proper divisors (4042360).

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

2005640 is a wasteful number, since it uses less digits than its factorization.

2005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2005640 is about 1416.2061996757. The cubic root of 2005640 is about 126.1104264156.

The spelling of 2005640 in words is "two million, five thousand, six hundred forty".