2814944 has 36 divisors (see below), whose sum is σ = 6099912. Its totient is φ = 1277760.

The previous prime is 2814941. The next prime is 2814991. The reversal of 2814944 is 4494182.

2814944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2814944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3509 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (169442).

2^2814944 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 2814944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049956).

2814944 is an abundant number, since it is smaller than the sum of its proper divisors (3284968).

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

2814944 is a wasteful number, since it uses less digits than its factorization.

2814944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 740 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 2814944 is about 1677.7794849145. The cubic root of 2814944 is about 141.1962794644.

It can be divided in two parts, 281 and 4944, that added together give a palindrome (5225).

The spelling of 2814944 in words is "two million, eight hundred fourteen thousand, nine hundred forty-four".