2126176 has 48 divisors (see below), whose sum is σ = 4762800. Its totient is φ = 926208.

The previous prime is 2126171. The next prime is 2126177. The reversal of 2126176 is 6716212.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 2126176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126171) 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 7 ways as a sum of consecutive naturals, for example, 7770 + ... + 8038.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

2^2126176 is an apocalyptic number.

2126176 is a gapful number since it is divisible by the number (26) 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 2126176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381400).

2126176 is an abundant number, since it is smaller than the sum of its proper divisors (2636624).

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

2126176 is a wasteful number, since it uses less digits than its factorization.

2126176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 2126176 is about 1458.1412825923. The cubic root of 2126176 is about 128.5877914507.

The spelling of 2126176 in words is "two million, one hundred twenty-six thousand, one hundred seventy-six".