2821160000 has 70 divisors (see below), whose sum is σ = 6995659110. Its totient is φ = 1128448000.

The previous prime is 2821159993. The next prime is 2821160011. The reversal of 2821160000 is 611282.

It can be written as a sum of positive squares in 5 ways, for example, as 1032208384 + 1788951616 = 32128^2 + 42296^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 4736 + ... + 75264.

Almost surely, 2^2821160000 is an apocalyptic number.

2821160000 is a gapful number since it is divisible by the number (20) 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 2821160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497829555).

2821160000 is an abundant number, since it is smaller than the sum of its proper divisors (4174499110).

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

2821160000 is an frugal number, since it uses more digits than its factorization.

2821160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70561 (or 70536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2821160000 is about 53114.5930983190. The cubic root of 2821160000 is about 1413.0013361242.

Adding to 2821160000 its reverse (611282), we get a palindrome (2821771282).

The spelling of 2821160000 in words is "two billion, eight hundred twenty-one million, one hundred sixty thousand".