2822294800 has 120 divisors (see below), whose sum is σ = 7350781256. Its totient is φ = 1035141120.

The previous prime is 2822294771. The next prime is 2822294821. The reversal of 2822294800 is 84922282.

It can be written as a sum of positive squares in 12 ways, for example, as 2390818816 + 431475984 = 48896^2 + 20772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2822294800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814672 + ... + 818128.

Almost surely, 2^2822294800 is an apocalyptic number.

2822294800 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 2822294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675390628).

2822294800 is an abundant number, since it is smaller than the sum of its proper divisors (4528486456).

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

2822294800 is a wasteful number, since it uses less digits than its factorization.

2822294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 2822294800 is about 53125.2745875257. The cubic root of 2822294800 is about 1413.1907687178.

The spelling of 2822294800 in words is "two billion, eight hundred twenty-two million, two hundred ninety-four thousand, eight hundred".