2882824000 has 112 divisors (see below), whose sum is σ = 8159374080. Its totient is φ = 988377600.

The previous prime is 2882823917. The next prime is 2882824019. The reversal of 2882824000 is 4282882.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30261 + ... + 81739.

Almost surely, 2^2882824000 is an apocalyptic number.

2882824000 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 2882824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079687040).

2882824000 is an abundant number, since it is smaller than the sum of its proper divisors (5276550080).

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

2882824000 is an equidigital number, since it uses as much as digits as its factorization.

2882824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51513 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 2882824000 is about 53691.9360798249. The cubic root of 2882824000 is about 1423.2222007479. Note that the first 4 decimals are identical.

The spelling of 2882824000 in words is "two billion, eight hundred eighty-two million, eight hundred twenty-four thousand".