2886144 has 40 divisors (see below), whose sum is σ = 7692960. Its totient is φ = 961536.

The previous prime is 2886139. The next prime is 2886161. The reversal of 2886144 is 4416882.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 597 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (192324).

2^2886144 is an apocalyptic number.

2886144 is a gapful number since it is divisible by the number (24) 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 2886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846480).

2886144 is an abundant number, since it is smaller than the sum of its proper divisors (4806816).

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

2886144 is an equidigital number, since it uses as much as digits as its factorization.

2886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1884 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 2886144 is about 1698.8655037995. The cubic root of 2886144 is about 142.3768341729.

The spelling of 2886144 in words is "two million, eight hundred eighty-six thousand, one hundred forty-four".