2801344 has 84 divisors (see below), whose sum is σ = 7065264. Its totient is φ = 1078272.

The previous prime is 2801339. The next prime is 2801347. The reversal of 2801344 is 4431082.

2801344 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2801347) 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 11 ways as a sum of consecutive naturals, for example, 75694 + ... + 75730.

2^2801344 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 2801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532632).

2801344 is an abundant number, since it is smaller than the sum of its proper divisors (4263920).

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

2801344 is a wasteful number, since it uses less digits than its factorization.

2801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2801344 is about 1673.7216017008. The cubic root of 2801344 is about 140.9685223900.

The spelling of 2801344 in words is "two million, eight hundred one thousand, three hundred forty-four".