2784964 has 36 divisors (see below), whose sum is σ = 6111084. Its totient is φ = 1100736.

The previous prime is 2784961. The next prime is 2784973. The reversal of 2784964 is 4694872.

2784964 is digitally balanced in base 5, 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 1768900 + 1016064 = 1330^2 + 1008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2784961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2002 + ... + 3094.

2^2784964 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 2784964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055542).

2784964 is an abundant number, since it is smaller than the sum of its proper divisors (3326120).

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

2784964 is a wasteful number, since it uses less digits than its factorization.

2784964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 2784964 is about 1668.8211408057. The cubic root of 2784964 is about 140.6932283896.

The spelling of 2784964 in words is "two million, seven hundred eighty-four thousand, nine hundred sixty-four".