2882016 has 36 divisors (see below), whose sum is σ = 8196552. Its totient is φ = 960576.

The previous prime is 2881951. The next prime is 2882021. The reversal of 2882016 is 6102882.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4716 + ... + 5291.

It is an arithmetic number, because the mean of its divisors is an integer number (227682).

2^2882016 is an apocalyptic number.

It is an amenable number.

2882016 is an abundant number, since it is smaller than the sum of its proper divisors (5314536).

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

2882016 is a wasteful number, since it uses less digits than its factorization.

2882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 10012 counting only the distinct ones).

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

The square root of 2882016 is about 1697.6501406356. The cubic root of 2882016 is about 142.3089221073.

Adding to 2882016 its reverse (6102882), we get a palindrome (8984898).

It can be divided in two parts, 288 and 2016, that added together give a square (2304 = 48²).

The spelling of 2882016 in words is "two million, eight hundred eighty-two thousand, sixteen".