2816000 has 96 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 1024000.

The previous prime is 2815997. The next prime is 2816017. The reversal of 2816000 is 6182.

It is a self number, because there is not a number n which added to its sum of digits gives 2816000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255995 + ... + 256005.

2^2816000 is an apocalyptic number.

2816000 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 2816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

2816000 is an abundant number, since it is smaller than the sum of its proper divisors (4849840).

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

2816000 is an equidigital number, since it uses as much as digits as its factorization.

2816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2816000 is about 1678.0941570722. The cubic root of 2816000 is about 141.2139334130.

The spelling of 2816000 in words is "two million, eight hundred sixteen thousand".