2881824 has 48 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 872960.

The previous prime is 2881799. The next prime is 2881859. The reversal of 2881824 is 4281882.

2881824 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 a Harshad number since it is a multiple of its sum of digits (33).

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

It is an unprimeable number.

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, 309 + ... + 2420.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

2^2881824 is an apocalyptic number.

2881824 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 2881824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2881824 is an abundant number, since it is smaller than the sum of its proper divisors (5373696).

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

2881824 is a wasteful number, since it uses less digits than its factorization.

2881824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2745 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 2881824 is about 1697.5935909398. The cubic root of 2881824 is about 142.3057618288.

It can be divided in two parts, 288 and 1824, that added together give a palindrome (2112).

The spelling of 2881824 in words is "two million, eight hundred eighty-one thousand, eight hundred twenty-four".