2881424 has 40 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 1139328.

The previous prime is 2881409. The next prime is 2881427. The reversal of 2881424 is 4241882.

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

It is not an unprimeable number, because it can be changed into a prime (2881427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467 + ... + 2445.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

2^2881424 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 2881424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2881424 is an abundant number, since it is smaller than the sum of its proper divisors (3993136).

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

2881424 is a wasteful number, since it uses less digits than its factorization.

2881424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 2881424 is about 1697.4757730230. The cubic root of 2881424 is about 142.2991774643.

The spelling of 2881424 in words is "two million, eight hundred eighty-one thousand, four hundred twenty-four".