2020564 has 54 divisors (see below), whose sum is σ = 4527054. Its totient is φ = 786240.

The previous prime is 2020561. The next prime is 2020591. The reversal of 2020564 is 4650202.

It can be written as a sum of positive squares in 3 ways, for example, as 176400 + 1844164 = 420^2 + 1358^2 .

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020561) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33094 + ... + 33154.

2^2020564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263527).

2020564 is an abundant number, since it is smaller than the sum of its proper divisors (2506490).

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

2020564 is a wasteful number, since it uses less digits than its factorization.

2020564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2020564 is about 1421.4654410150. The cubic root of 2020564 is about 126.4224503465.

Adding to 2020564 its reverse (4650202), we get a palindrome (6670766).

The spelling of 2020564 in words is "two million, twenty thousand, five hundred sixty-four".