2822400000 has 648 divisors, whose sum is σ = 11852346870. Its totient is φ = 645120000.

The previous prime is 2822399981. The next prime is 2822400013. The reversal of 2822400000 is 42282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 2818335744 = 2016^2 + 53088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 403199997 + ... + 403200003.

Almost surely, 2^2822400000 is an apocalyptic number.

2822400000 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 2822400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926173435).

2822400000 is an abundant number, since it is smaller than the sum of its proper divisors (9029946870).

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

2822400000 is an frugal number, since it uses more digits than its factorization.

2822400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2822400000 is about 53126.2646908288. The cubic root of 2822400000 is about 1413.2083272216.

Adding to 2822400000 its reverse (42282), we get a palindrome (2822442282).

The spelling of 2822400000 in words is "two billion, eight hundred twenty-two million, four hundred thousand".