2744000 has 112 divisors (see below), whose sum is σ = 7924800. Its totient is φ = 940800.

The previous prime is 2743991. The next prime is 2744003. The reversal of 2744000 is 4472.

The cubic root of 2744000 is 140.

It is a perfect power (a cube), and thus also a powerful number.

2744000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2744000.

It is not an unprimeable number, because it can be changed into a prime (2744003) 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 15 ways as a sum of consecutive naturals, for example, 391997 + ... + 392003.

2^2744000 is an apocalyptic number.

2744000 is a gapful number since it is divisible by the number (20) 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 2744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962400).

2744000 is an abundant number, since it is smaller than the sum of its proper divisors (5180800).

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

2744000 is an frugal number, since it uses more digits than its factorization.

2744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2744000 is about 1656.5023392679.

Adding to 2744000 its reverse (4472), we get a palindrome (2748472).

The spelling of 2744000 in words is "two million, seven hundred forty-four thousand".