2082564 has 48 divisors (see below), whose sum is σ = 5893440. Its totient is φ = 630720.

The previous prime is 2082539. The next prime is 2082569. The reversal of 2082564 is 4652802.

2082564 is a `hidden beast` number, since 20 + 82 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2082569) 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 15 ways as a sum of consecutive naturals, for example, 312 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (122780).

2^2082564 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 2082564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946720).

2082564 is an abundant number, since it is smaller than the sum of its proper divisors (3810876).

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

2082564 is a wasteful number, since it uses less digits than its factorization.

2082564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2082564 is about 1443.1091434815. The cubic root of 2082564 is about 127.7025155329.

It can be divided in two parts, 208 and 2564, that added together give a palindrome (2772).

The spelling of 2082564 in words is "two million, eighty-two thousand, five hundred sixty-four".