2122416 has 80 divisors (see below), whose sum is σ = 6472800. Its totient is φ = 665856.

The previous prime is 2122409. The next prime is 2122427. The reversal of 2122416 is 6142212.

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 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 nialpdrome in base 12.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 124840 + ... + 124856.

It is an arithmetic number, because the mean of its divisors is an integer number (80910).

2^2122416 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 2122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236400).

2122416 is an abundant number, since it is smaller than the sum of its proper divisors (4350384).

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

2122416 is an equidigital number, since it uses as much as digits as its factorization.

2122416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 22 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2122416 is about 1456.8513994227. The cubic root of 2122416 is about 128.5119470893.

Adding to 2122416 its reverse (6142212), we get a palindrome (8264628).

It can be divided in two parts, 212 and 2416, that added together give a triangular number (2628 = T₇₂).

The spelling of 2122416 in words is "two million, one hundred twenty-two thousand, four hundred sixteen".