2013820 has 24 divisors (see below), whose sum is σ = 4478544. Its totient is φ = 758016.

The previous prime is 2013787. The next prime is 2013821. The reversal of 2013820 is 283102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2013794 and 2013803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013821) 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, 2622 + ... + 3301.

It is an arithmetic number, because the mean of its divisors is an integer number (186606).

2^2013820 is an apocalyptic number.

2013820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013820 is an abundant number, since it is smaller than the sum of its proper divisors (2464724).

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

2013820 is a wasteful number, since it uses less digits than its factorization.

2013820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2013820 is about 1419.0912585172. The cubic root of 2013820 is about 126.2816409274.

Adding to 2013820 its reverse (283102), we get a palindrome (2296922).

The spelling of 2013820 in words is "two million, thirteen thousand, eight hundred twenty".