2881344 has 56 divisors (see below), whose sum is σ = 7823200. Its totient is φ = 935424.

The previous prime is 2881343. The next prime is 2881349. The reversal of 2881344 is 4431882.

2881344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8082 + ... + 8430.

It is an arithmetic number, because the mean of its divisors is an integer number (139700).

2^2881344 is an apocalyptic number.

2881344 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 2881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911600).

2881344 is an abundant number, since it is smaller than the sum of its proper divisors (4941856).

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

2881344 is a wasteful number, since it uses less digits than its factorization.

2881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 397 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 2881344 is about 1697.4522084583. The cubic root of 2881344 is about 142.2978605183.

The spelling of 2881344 in words is "two million, eight hundred eighty-one thousand, three hundred forty-four".