2838784 has 36 divisors (see below), whose sum is σ = 6109516. Its totient is φ = 1308672.

The previous prime is 2838769. The next prime is 2838827. The reversal of 2838784 is 4878382.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 2560000 = 528^2 + 1600^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2902 + ... + 3754.

2^2838784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054758).

2838784 is an abundant number, since it is smaller than the sum of its proper divisors (3270732).

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

2838784 is an equidigital number, since it uses as much as digits as its factorization.

2838784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 2838784 is about 1684.8691343840. The cubic root of 2838784 is about 141.5937605643.

The spelling of 2838784 in words is "two million, eight hundred thirty-eight thousand, seven hundred eighty-four".