2882080 has 24 divisors (see below), whose sum is σ = 6809292. Its totient is φ = 1152768.

The previous prime is 2882071. The next prime is 2882081. The reversal of 2882080 is 802882.

2882080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 99856 = 1668^2 + 316^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2882081) 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 3 ways as a sum of consecutive naturals, for example, 8847 + ... + 9166.

2^2882080 is an apocalyptic number.

2882080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2882080 is an abundant number, since it is smaller than the sum of its proper divisors (3927212).

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

2882080 is a wasteful number, since it uses less digits than its factorization.

2882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2882080 is about 1697.6689901156. The cubic root of 2882080 is about 142.3099755023.

It can be divided in two parts, 28820 and 80, that added together give a square (28900 = 170²).

The spelling of 2882080 in words is "two million, eight hundred eighty-two thousand, eighty".