2005260 has 48 divisors (see below), whose sum is σ = 5913600. Its totient is φ = 506304.

The previous prime is 2005249. The next prime is 2005261. The reversal of 2005260 is 625002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2005261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261 + ... + 2019.

It is an arithmetic number, because the mean of its divisors is an integer number (123200).

2^2005260 is an apocalyptic number.

2005260 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 2005260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956800).

2005260 is an abundant number, since it is smaller than the sum of its proper divisors (3908340).

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

2005260 is a wasteful number, since it uses less digits than its factorization.

2005260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2005260 is about 1416.0720320662. The cubic root of 2005260 is about 126.1024613789.

It can be divided in two parts, 200 and 5260, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 2005260 in words is "two million, five thousand, two hundred sixty".