2821998816 has 576 divisors, whose sum is σ = 10567065600. Its totient is φ = 694407168.

The previous prime is 2821998811. The next prime is 2821998821. The reversal of 2821998816 is 6188991282.

It is an interprime number because it is at equal distance from previous prime (2821998811) and next prime (2821998821).

It is a super-3 number, since 3×2821998816³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821998811) 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, 35721465 + ... + 35721543.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^2821998816 is an apocalyptic number.

2821998816 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 2821998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283532800).

2821998816 is an abundant number, since it is smaller than the sum of its proper divisors (7745066784).

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

2821998816 is a wasteful number, since it uses less digits than its factorization.

2821998816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 2821998816 is about 53122.4887971187. The cubic root of 2821998816 is about 1413.1413648923.

The spelling of 2821998816 in words is "two billion, eight hundred twenty-one million, nine hundred ninety-eight thousand, eight hundred sixteen".