2013760 has 112 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 645120.

The previous prime is 2013757. The next prime is 2013761. The reversal of 2013760 is 673102.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2013761) 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, 64945 + ... + 64975.

2^2013760 is an apocalyptic number.

2013760 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 2013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

2013760 is an abundant number, since it is smaller than the sum of its proper divisors (3838400).

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

2013760 is a wasteful number, since it uses less digits than its factorization.

2013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 2013760 is about 1419.0701180703. The cubic root of 2013760 is about 126.2803867647.

Adding to 2013760 its reverse (673102), we get a palindrome (2686862).

The spelling of 2013760 in words is "two million, thirteen thousand, seven hundred sixty".