2559816 has 64 divisors (see below), whose sum is σ = 8131200. Its totient is φ = 730944.

The previous prime is 2559811. The next prime is 2559827. The reversal of 2559816 is 6189552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2559811) 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, 666 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (127050).

2^2559816 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 2559816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065600).

2559816 is an abundant number, since it is smaller than the sum of its proper divisors (5571384).

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

2559816 is a wasteful number, since it uses less digits than its factorization.

2559816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 2559816 is about 1599.9424989668. The cubic root of 2559816 is about 136.7947982017.

It can be divided in two parts, 2559 and 816, that added together give a cube (3375 = 15³).

The spelling of 2559816 in words is "two million, five hundred fifty-nine thousand, eight hundred sixteen".