2013580 has 24 divisors (see below), whose sum is σ = 4282992. Its totient is φ = 795072.

The previous prime is 2013553. The next prime is 2013589. The reversal of 2013580 is 853102.

It is a happy number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2013589) 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, 1054 + ... + 2266.

It is an arithmetic number, because the mean of its divisors is an integer number (178458).

2^2013580 is an apocalyptic number.

2013580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013580 is an abundant number, since it is smaller than the sum of its proper divisors (2269412).

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

2013580 is a wasteful number, since it uses less digits than its factorization.

2013580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2013580 is about 1419.0066948397. The cubic root of 2013580 is about 126.2766241272.

Subtracting from 2013580 its sum of digits (19), we obtain a square (2013561 = 1419²).

Adding to 2013580 its reverse (853102), we get a palindrome (2866682).

The spelling of 2013580 in words is "two million, thirteen thousand, five hundred eighty".