2841216 has 96 divisors (see below), whose sum is σ = 8837280. Its totient is φ = 806400.

The previous prime is 2841211. The next prime is 2841283. The reversal of 2841216 is 6121482.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (2841211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18741 + ... + 18891.

It is an arithmetic number, because the mean of its divisors is an integer number (92055).

2^2841216 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 2841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418640).

2841216 is an abundant number, since it is smaller than the sum of its proper divisors (5996064).

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

2841216 is a wasteful number, since it uses less digits than its factorization.

2841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2841216 is about 1685.5906976488. The cubic root of 2841216 is about 141.6341837098.

Adding to 2841216 its reverse (6121482), we get a palindrome (8962698).

The spelling of 2841216 in words is "two million, eight hundred forty-one thousand, two hundred sixteen".