2806120 has 48 divisors (see below), whose sum is σ = 6613380. Its totient is φ = 1071360.

The previous prime is 2806109. The next prime is 2806121. The reversal of 2806120 is 216082.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2802276 + 3844 = 1674^2 + 62^2 .

It is not an unprimeable number, because it can be changed into a prime (2806121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38404 + ... + 38476.

2^2806120 is an apocalyptic number.

2806120 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 2806120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306690).

2806120 is an abundant number, since it is smaller than the sum of its proper divisors (3807260).

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

2806120 is a wasteful number, since it uses less digits than its factorization.

2806120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2806120 is about 1675.1477546772. The cubic root of 2806120 is about 141.0485891257.

It can be divided in two parts, 2806 and 120, that added together give a triangular number (2926 = T₇₆).

The spelling of 2806120 in words is "two million, eight hundred six thousand, one hundred twenty".