2120586 has 32 divisors (see below), whose sum is σ = 4720128. Its totient is φ = 630720.

The previous prime is 2120579. The next prime is 2120611. The reversal of 2120586 is 6850212.

It is a d-powerful number, because it can be written as 2⁴ + 1 + 2⁴ + 0 + 5⁶ + 8⁷ + 6⁵ .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980 + ... + 2856.

It is an arithmetic number, because the mean of its divisors is an integer number (147504).

2^2120586 is an apocalyptic number.

2120586 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360064).

2120586 is an abundant number, since it is smaller than the sum of its proper divisors (2599542).

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

2120586 is a wasteful number, since it uses less digits than its factorization.

2120586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2120586 is about 1456.2231971782. The cubic root of 2120586 is about 128.4750010669.

Adding to 2120586 its reverse (6850212), we get a palindrome (8970798).

The spelling of 2120586 in words is "two million, one hundred twenty thousand, five hundred eighty-six".