2746304 has 56 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 1207040.

The previous prime is 2746297. The next prime is 2746309. The reversal of 2746304 is 4036472.

It is a happy number.

2746304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2⁹ + 7⁵ + 4³ + 6⁸ + 3⁶ + 0 + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746309) 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 7 ways as a sum of consecutive naturals, for example, 33047 + ... + 33129.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

2^2746304 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 2746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2746304 is an abundant number, since it is smaller than the sum of its proper divisors (3398464).

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

2746304 is a wasteful number, since it uses less digits than its factorization.

2746304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 2746304 is about 1657.1976345626. The cubic root of 2746304 is about 140.0391727117.

The spelling of 2746304 in words is "two million, seven hundred forty-six thousand, three hundred four".