2884896 has 144 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 808704.

The previous prime is 2884823. The next prime is 2884897. The reversal of 2884896 is 6984882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (2884897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54406 + ... + 54458.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

2^2884896 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 2884896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

2884896 is an abundant number, since it is smaller than the sum of its proper divisors (7021728).

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

2884896 is an equidigital number, since it uses as much as digits as its factorization.

2884896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2884896 is about 1698.4981601403. The cubic root of 2884896 is about 142.3563094513.

It can be divided in two parts, 288 and 4896, that added together give a square (5184 = 72²).

The spelling of 2884896 in words is "two million, eight hundred eighty-four thousand, eight hundred ninety-six".