2866416 has 80 divisors (see below), whose sum is σ = 8928000. Its totient is φ = 774144.

The previous prime is 2866403. The next prime is 2866417. The reversal of 2866416 is 6146682.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2866417) 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 15 ways as a sum of consecutive naturals, for example, 6160 + ... + 6608.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

2^2866416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2866416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

2866416 is an abundant number, since it is smaller than the sum of its proper divisors (6061584).

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

2866416 is a wasteful number, since it uses less digits than its factorization.

2866416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2866416 is about 1693.0493200140. The cubic root of 2866416 is about 142.0516904984.

It can be divided in two parts, 28664 and 16, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 2866416 in words is "two million, eight hundred sixty-six thousand, four hundred sixteen".