2084580 has 72 divisors (see below), whose sum is σ = 6514872. Its totient is φ = 539136.

The previous prime is 2084569. The next prime is 2084609. The reversal of 2084580 is 854802.

2084580 is a `hidden beast` number, since 2 + 0 + 84 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79524 + 2005056 = 282^2 + 1416^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6504 + ... + 6816.

2^2084580 is an apocalyptic number.

2084580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257436).

2084580 is an abundant number, since it is smaller than the sum of its proper divisors (4430292).

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

2084580 is a wasteful number, since it uses less digits than its factorization.

2084580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2084580 is about 1443.8074663888. The cubic root of 2084580 is about 127.7437091838.

The spelling of 2084580 in words is "two million, eighty-four thousand, five hundred eighty".