2782016 has 28 divisors (see below), whose sum is σ = 5847588. Its totient is φ = 1308672.

The previous prime is 2782009. The next prime is 2782019. The reversal of 2782016 is 6102872.

It can be written as a sum of positive squares in 2 ways, for example, as 1700416 + 1081600 = 1304^2 + 1040^2 .

It is a super-2 number, since 2×2782016² = 15479226048512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191 + ... + 2366.

2^2782016 is an apocalyptic number.

It is an amenable number.

2782016 is an abundant number, since it is smaller than the sum of its proper divisors (3065572).

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

2782016 is a wasteful number, since it uses less digits than its factorization.

2782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2782016 is about 1667.9376487147. The cubic root of 2782016 is about 140.6435676553.

Adding to 2782016 its reverse (6102872), we get a palindrome (8884888).

The spelling of 2782016 in words is "two million, seven hundred eighty-two thousand, sixteen".