2082816 has 72 divisors (see below), whose sum is σ = 6068790. Its totient is φ = 688128.

The previous prime is 2082803. The next prime is 2082827. The reversal of 2082816 is 6182802.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 9216 = 1440^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2082816.

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, 18376 + ... + 18488.

2^2082816 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 2082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034395).

2082816 is an abundant number, since it is smaller than the sum of its proper divisors (3985974).

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

2082816 is a wasteful number, since it uses less digits than its factorization.

2082816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2082816 is about 1443.1964523238. The cubic root of 2082816 is about 127.7076661927.

The spelling of 2082816 in words is "two million, eighty-two thousand, eight hundred sixteen".