2886688 has 48 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 1232448.

The previous prime is 2886683. The next prime is 2886743. The reversal of 2886688 is 8866882.

It is a d-powerful number, because it can be written as 2²¹ + 8³ + 8⁶ + 6⁴ + 6⁴ + 8⁶ + 8⁶ .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2886683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10845 + ... + 11107.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

2^2886688 is an apocalyptic number.

2886688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2886688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2886688 is an abundant number, since it is smaller than the sum of its proper divisors (3766112).

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

2886688 is an equidigital number, since it uses as much as digits as its factorization.

2886688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 2886688 is about 1699.0256031031. The cubic root of 2886688 is about 142.3857789948.

The spelling of 2886688 in words is "two million, eight hundred eighty-six thousand, six hundred eighty-eight".