2822752800 has 720 divisors, whose sum is σ = 12099225600. Its totient is φ = 640120320.

The previous prime is 2822752799. The next prime is 2822752817. The reversal of 2822752800 is 82572282.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22226337 + ... + 22226463.

It is an arithmetic number, because the mean of its divisors is an integer number (16804480).

Almost surely, 2^2822752800 is an apocalyptic number.

2822752800 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 2822752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049612800).

2822752800 is an abundant number, since it is smaller than the sum of its proper divisors (9276472800).

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

2822752800 is a wasteful number, since it uses less digits than its factorization.

2822752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2822752800 is about 53129.5849786162. The cubic root of 2822752800 is about 1413.2672084486.

The spelling of 2822752800 in words is "two billion, eight hundred twenty-two million, seven hundred fifty-two thousand, eight hundred".