2746944 has 84 divisors (see below), whose sum is σ = 8321040. Its totient is φ = 864000.

The previous prime is 2746921. The next prime is 2746949. The reversal of 2746944 is 4496472.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁷ + 7⁵ + 4³ + 6⁸ + 9³ + 4⁵ + 4¹⁰ .

Its product of digits (48384) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2746899 and 2746908.

It is not an unprimeable number, because it can be changed into a prime (2746949) 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, 10819 + ... + 11069.

It is an arithmetic number, because the mean of its divisors is an integer number (99060).

2^2746944 is an apocalyptic number.

2746944 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 2746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160520).

2746944 is an abundant number, since it is smaller than the sum of its proper divisors (5574096).

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

2746944 is a wasteful number, since it uses less digits than its factorization.

2746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2746944 is about 1657.3907203795. The cubic root of 2746944 is about 140.0500501321.

It can be divided in two parts, 27 and 46944, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 2746944 in words is "two million, seven hundred forty-six thousand, nine hundred forty-four".