2823744 has 112 divisors (see below), whose sum is σ = 9363456. Its totient is φ = 729600.

The previous prime is 2823731. The next prime is 2823749. The reversal of 2823744 is 4473282.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (10752) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (2823749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14689 + ... + 14879.

2^2823744 is an apocalyptic number.

2823744 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 2823744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681728).

2823744 is an abundant number, since it is smaller than the sum of its proper divisors (6539712).

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

2823744 is a wasteful number, since it uses less digits than its factorization.

2823744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 2823744 is about 1680.3999523923. The cubic root of 2823744 is about 141.3432610407.

The spelling of 2823744 in words is "two million, eight hundred twenty-three thousand, seven hundred forty-four".