2743968 has 48 divisors (see below), whose sum is σ = 7299936. Its totient is φ = 902400.

The previous prime is 2743967. The next prime is 2743991. The reversal of 2743968 is 8693472.

2743968 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 (48).

It is not an unprimeable number, because it can be changed into a prime (2743967) 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, 9555 + ... + 9837.

It is an arithmetic number, because the mean of its divisors is an integer number (152082).

2^2743968 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 2743968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649968).

2743968 is an abundant number, since it is smaller than the sum of its proper divisors (4555968).

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

2743968 is a wasteful number, since it uses less digits than its factorization.

2743968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 2743968 is about 1656.4926803340. The cubic root of 2743968 is about 139.9994557802. Note that the first 3 decimals are identical.

The spelling of 2743968 in words is "two million, seven hundred forty-three thousand, nine hundred sixty-eight".