2784132 has 60 divisors (see below), whose sum is σ = 7849996. Its totient is φ = 855360.

The previous prime is 2784113. The next prime is 2784137. The reversal of 2784132 is 2314872.

2784132 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 1285956 + 1498176 = 1134^2 + 1224^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2784096 and 2784105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2784137) 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 19 ways as a sum of consecutive naturals, for example, 3882 + ... + 4542.

2^2784132 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 2784132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924998).

2784132 is an abundant number, since it is smaller than the sum of its proper divisors (5065864).

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

2784132 is a wasteful number, since it uses less digits than its factorization.

2784132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2784132 is about 1668.5718444226. The cubic root of 2784132 is about 140.6792164281.

It can be divided in two parts, 2784 and 132, that added together give a square (2916 = 54²).

The spelling of 2784132 in words is "two million, seven hundred eighty-four thousand, one hundred thirty-two".