2746848 has 96 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 806400.

The previous prime is 2746847. The next prime is 2746873. The reversal of 2746848 is 8486472.

2746848 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (86016) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746847) 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, 38653 + ... + 38723.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

2^2746848 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 2746848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2746848 is an abundant number, since it is smaller than the sum of its proper divisors (5381664).

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

2746848 is a wasteful number, since it uses less digits than its factorization.

2746848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 2746848 is about 1657.3617589410. The cubic root of 2746848 is about 140.0484186268.

The spelling of 2746848 in words is "two million, seven hundred forty-six thousand, eight hundred forty-eight".