2116116 has 36 divisors (see below), whose sum is σ = 5477472. Its totient is φ = 688464.

The previous prime is 2116099. The next prime is 2116117. The reversal of 2116116 is 6116112.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 865 + ... + 2231.

It is an arithmetic number, because the mean of its divisors is an integer number (152152).

2^2116116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738736).

2116116 is an abundant number, since it is smaller than the sum of its proper divisors (3361356).

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

2116116 is a wasteful number, since it uses less digits than its factorization.

2116116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1415 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 2116116 is about 1454.6875953276. The cubic root of 2116116 is about 128.3846664078.

It can be divided in two parts, 2 and 116116, that multiplied together give a palindrome (232232).

The spelling of 2116116 in words is "two million, one hundred sixteen thousand, one hundred sixteen".