2816856000 has 896 divisors, whose sum is σ = 12476805120. Its totient is φ = 615859200.

The previous prime is 2816855983. The next prime is 2816856067. The reversal of 2816856000 is 6586182.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122471989 + ... + 122472011.

Almost surely, 2^2816856000 is an apocalyptic number.

2816856000 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 2816856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238402560).

2816856000 is an abundant number, since it is smaller than the sum of its proper divisors (9659949120).

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

2816856000 is an frugal number, since it uses more digits than its factorization.

2816856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2816856000 is about 53074.0614613203. The cubic root of 2816856000 is about 1412.2824057224.

The spelling of 2816856000 in words is "two billion, eight hundred sixteen million, eight hundred fifty-six thousand".