2220416 has 64 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 944640.

The previous prime is 2220409. The next prime is 2220419. The reversal of 2220416 is 6140222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2220394 and 2220403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220419) 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, 26711 + ... + 26793.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

2^2220416 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 2220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

2220416 is an abundant number, since it is smaller than the sum of its proper divisors (2920384).

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

2220416 is a wasteful number, since it uses less digits than its factorization.

2220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2220416 is about 1490.1060364954. The cubic root of 2220416 is about 130.4602228510.

Adding to 2220416 its reverse (6140222), we get a palindrome (8360638).

The spelling of 2220416 in words is "two million, two hundred twenty thousand, four hundred sixteen".