2582016 has 60 divisors (see below), whose sum is σ = 7050516. Its totient is φ = 839680.

The previous prime is 2582009. The next prime is 2582029. The reversal of 2582016 is 6102852.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 62956 + ... + 62996.

2^2582016 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 2582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525258).

2582016 is an abundant number, since it is smaller than the sum of its proper divisors (4468500).

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

2582016 is an frugal number, since it uses more digits than its factorization.

2582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2582016 is about 1606.8652712658. The cubic root of 2582016 is about 137.1891113822.

Multiplying 2582016 by its sum of digits (24), we get a square (61968384 = 7872²).

2582016 divided by its sum of digits (24) gives a square (107584 = 328²).

Adding to 2582016 its reverse (6102852), we get a palindrome (8684868).

The spelling of 2582016 in words is "two million, five hundred eighty-two thousand, sixteen".