2822140800 has 576 divisors, whose sum is σ = 10851984000. Its totient is φ = 696729600.

The previous prime is 2822140793. The next prime is 2822140843. The reversal of 2822140800 is 80412282.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 25891146 + ... + 25891254.

It is an arithmetic number, because the mean of its divisors is an integer number (18840250).

Almost surely, 2^2822140800 is an apocalyptic number.

2822140800 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 2822140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425992000).

2822140800 is an abundant number, since it is smaller than the sum of its proper divisors (8029843200).

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

2822140800 is a wasteful number, since it uses less digits than its factorization.

2822140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2822140800 is about 53123.8251634801. The cubic root of 2822140800 is about 1413.1650644178.

The spelling of 2822140800 in words is "two billion, eight hundred twenty-two million, one hundred forty thousand, eight hundred".