2809080 has 144 divisors (see below), whose sum is σ = 10057320. Its totient is φ = 705024.

The previous prime is 2809073. The next prime is 2809087. The reversal of 2809080 is 809082.

2809080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2809073) and next prime (2809087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165232 + ... + 165248.

2^2809080 is an apocalyptic number.

2809080 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 2809080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028660).

2809080 is an abundant number, since it is smaller than the sum of its proper divisors (7248240).

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

2809080 is a wasteful number, since it uses less digits than its factorization.

2809080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2809080 is about 1676.0310259658. The cubic root of 2809080 is about 141.0981661348.

The spelling of 2809080 in words is "two million, eight hundred nine thousand, eighty".