2823552000 has 704 divisors, whose sum is σ = 11240486400. Its totient is φ = 696729600.

The previous prime is 2823551987. The next prime is 2823552001. The reversal of 2823552000 is 2553282.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823552001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 65663979 + ... + 65664021.

It is an arithmetic number, because the mean of its divisors is an integer number (15966600).

Almost surely, 2^2823552000 is an apocalyptic number.

2823552000 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 2823552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620243200).

2823552000 is an abundant number, since it is smaller than the sum of its proper divisors (8416934400).

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

2823552000 is a wasteful number, since it uses less digits than its factorization.

2823552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2823552000 is about 53137.1056795532. The cubic root of 2823552000 is about 1413.4005743097.

The spelling of 2823552000 in words is "two billion, eight hundred twenty-three million, five hundred fifty-two thousand".