2126916 has 72 divisors (see below), whose sum is σ = 6054048. Its totient is φ = 624000.

The previous prime is 2126911. The next prime is 2126923. The reversal of 2126916 is 6196212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2126916.

It is not an unprimeable number, because it can be changed into a prime (2126911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16171 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (84084).

2^2126916 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 2126916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027024).

2126916 is an abundant number, since it is smaller than the sum of its proper divisors (3927132).

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

2126916 is a wasteful number, since it uses less digits than its factorization.

2126916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2126916 is about 1458.3950082197. The cubic root of 2126916 is about 128.6027077336.

Adding to 2126916 its product of digits (1296), we get a palindrome (2128212).

The spelling of 2126916 in words is "two million, one hundred twenty-six thousand, nine hundred sixteen".