2850816000 has 304 divisors, whose sum is σ = 9814652640. Its totient is φ = 734003200.

The previous prime is 2850815999. The next prime is 2850816019. The reversal of 2850816000 is 6180582.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 98303986 + ... + 98304014.

Almost surely, 2^2850816000 is an apocalyptic number.

2850816000 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 2850816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907326320).

2850816000 is an abundant number, since it is smaller than the sum of its proper divisors (6963836640).

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

2850816000 is an frugal number, since it uses more digits than its factorization.

2850816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2850816000 is about 53393.0332534124. The cubic root of 2850816000 is about 1417.9352389420.

Adding to 2850816000 its reverse (6180582), we get a palindrome (2856996582).

The spelling of 2850816000 in words is "two billion, eight hundred fifty million, eight hundred sixteen thousand".