2566816 has 36 divisors (see below), whose sum is σ = 5882058. Its totient is φ = 1099392.

The previous prime is 2566807. The next prime is 2566829. The reversal of 2566816 is 6186652.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 19600 = 1596^2 + 140^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750 + ... + 2386.

2^2566816 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 2566816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941029).

2566816 is an abundant number, since it is smaller than the sum of its proper divisors (3315242).

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

2566816 is a wasteful number, since it uses less digits than its factorization.

2566816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1646 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 2566816 is about 1602.1285841030. The cubic root of 2566816 is about 136.9193764356.

The spelling of 2566816 in words is "two million, five hundred sixty-six thousand, eight hundred sixteen".