2116000 has 72 divisors (see below), whose sum is σ = 5434884. Its totient is φ = 809600.

The previous prime is 2115983. The next prime is 2116019. The reversal of 2116000 is 6112.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1430416 + 685584 = 1196^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91989 + ... + 92011.

2^2116000 is an apocalyptic number.

2116000 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 2116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717442).

2116000 is an abundant number, since it is smaller than the sum of its proper divisors (3318884).

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

2116000 is an equidigital number, since it uses as much as digits as its factorization.

2116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2116000 is about 1454.6477236775. The cubic root of 2116000 is about 128.3823204599.

Multiplying 2116000 by its sum of digits (10), we get a square (21160000 = 4600²).

2116000 divided by its sum of digits (10) gives a square (211600 = 460²).

The spelling of 2116000 in words is "two million, one hundred sixteen thousand".