2116128 has 96 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 582912.

The previous prime is 2116123. The next prime is 2116129. The reversal of 2116128 is 8216112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2116123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31551 + ... + 31617.

It is an arithmetic number, because the mean of its divisors is an integer number (68544).

2^2116128 is an apocalyptic number.

2116128 is a gapful number since it is divisible by the number (28) 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 2116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112).

2116128 is an abundant number, since it is smaller than the sum of its proper divisors (4464096).

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

2116128 is a wasteful number, since it uses less digits than its factorization.

2116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 2116128 is about 1454.6917199187. The cubic root of 2116128 is about 128.3849090872.

The spelling of 2116128 in words is "two million, one hundred sixteen thousand, one hundred twenty-eight".