2005360 has 40 divisors (see below), whose sum is σ = 5330016. Its totient is φ = 687360.

The previous prime is 2005343. The next prime is 2005369. The reversal of 2005360 is 635002.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005369) 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 7 ways as a sum of consecutive naturals, for example, 1231 + ... + 2350.

2^2005360 is an apocalyptic number.

2005360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005360 is an abundant number, since it is smaller than the sum of its proper divisors (3324656).

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

2005360 is a wasteful number, since it uses less digits than its factorization.

2005360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2005360 is about 1416.1073405643. The cubic root of 2005360 is about 126.1045575387.

The spelling of 2005360 in words is "two million, five thousand, three hundred sixty".