2789580 has 48 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 704448.

The previous prime is 2789573. The next prime is 2789587. The reversal of 2789580 is 859872.

It is an interprime number because it is at equal distance from previous prime (2789573) and next prime (2789587).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2789587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 2363.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

2^2789580 is an apocalyptic number.

2789580 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 2789580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2789580 is an abundant number, since it is smaller than the sum of its proper divisors (5435700).

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

2789580 is a wasteful number, since it uses less digits than its factorization.

2789580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2789580 is about 1670.2035804057. The cubic root of 2789580 is about 140.7709171811.

The spelling of 2789580 in words is "two million, seven hundred eighty-nine thousand, five hundred eighty".