2820033216 has 672 divisors, whose sum is σ = 11165726208. Its totient is φ = 656916480.

The previous prime is 2820033211. The next prime is 2820033301. The reversal of 2820033216 is 6123300282.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 2820033216.

It is not an unprimeable number, because it can be changed into a prime (2820033211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 38630556 + ... + 38630628.

It is an arithmetic number, because the mean of its divisors is an integer number (16615664).

Almost surely, 2^2820033216 is an apocalyptic number.

2820033216 is a gapful number since it is divisible by the number (26) 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 2820033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582863104).

2820033216 is an abundant number, since it is smaller than the sum of its proper divisors (8345692992).

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

2820033216 is a wasteful number, since it uses less digits than its factorization.

2820033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2820033216 is about 53103.9849352193. The cubic root of 2820033216 is about 1412.8131913758.

Adding to 2820033216 its reverse (6123300282), we get a palindrome (8943333498).

It can be divided in two parts, 28200 and 33216, that added together give a palindrome (61416).

The spelling of 2820033216 in words is "two billion, eight hundred twenty million, thirty-three thousand, two hundred sixteen".