2086580 has 54 divisors (see below), whose sum is σ = 4912614. Its totient is φ = 744192.

The previous prime is 2086577. The next prime is 2086589. The reversal of 2086580 is 856802.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 1387684 = 836^2 + 1178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086589) 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, 109811 + ... + 109829.

2^2086580 is an apocalyptic number.

2086580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1444×1445.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456307).

2086580 is an abundant number, since it is smaller than the sum of its proper divisors (2826034).

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

2086580 is a wasteful number, since it uses less digits than its factorization.

2086580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2086580 is about 1444.4999134649. The cubic root of 2086580 is about 127.7845496656.

The spelling of 2086580 in words is "two million, eighty-six thousand, five hundred eighty".