2784 has 24 divisors (see below), whose sum is σ = 7560. Its totient is φ = 896.

The previous prime is 2777. The next prime is 2789. The reversal of 2784 is 4872.

It is a happy number.

2784 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2789) by changing a digit.

2784 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 82 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (315).

2784 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 2784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780).

2784 is an abundant number, since it is smaller than the sum of its proper divisors (4776).

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

2784 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2783) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (34).

2784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 34 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 2784 is about 52.7636238331. The cubic root of 2784 is about 14.0676993120.

It can be divided in two parts, 278 and 4, that added together give a palindrome (282).

The spelling of 2784 in words is "two thousand, seven hundred eighty-four".