2562016 has 36 divisors (see below), whose sum is σ = 5353992. Its totient is φ = 1204544.

The previous prime is 2562011. The next prime is 2562023. The reversal of 2562016 is 6102652.

2562016 is nontrivially palindromic in base 9.

2562016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43395 + ... + 43453.

It is an arithmetic number, because the mean of its divisors is an integer number (148722).

2^2562016 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 2562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676996).

2562016 is an abundant number, since it is smaller than the sum of its proper divisors (2791976).

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

2562016 is an equidigital number, since it uses as much as digits as its factorization.

2562016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2562016 is about 1600.6298760176. The cubic root of 2562016 is about 136.8339758069.

Adding to 2562016 its reverse (6102652), we get a palindrome (8664668).

The spelling of 2562016 in words is "two million, five hundred sixty-two thousand, sixteen".