2005140 has 48 divisors (see below), whose sum is σ = 5862528. Its totient is φ = 511104.

The previous prime is 2005139. The next prime is 2005151. The reversal of 2005140 is 415002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654 + ... + 2106.

It is an arithmetic number, because the mean of its divisors is an integer number (122136).

2^2005140 is an apocalyptic number.

2005140 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 2005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931264).

2005140 is an abundant number, since it is smaller than the sum of its proper divisors (3857388).

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

2005140 is a wasteful number, since it uses less digits than its factorization.

2005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2005140 is about 1416.0296607063. The cubic root of 2005140 is about 126.0999458951.

It can be divided in two parts, 2005 and 140, that added together give a triangular number (2145 = T₆₅).

The spelling of 2005140 in words is "two million, five thousand, one hundred forty".