2444416 has 48 divisors (see below), whose sum is σ = 5319810. Its totient is φ = 1118208.

The previous prime is 2444411. The next prime is 2444437. The reversal of 2444416 is 6144442.

It can be written as a sum of positive squares in 3 ways, for example, as 484416 + 1960000 = 696^2 + 1400^2 .

Its product of digits (3072) is a multiple of the sum of its prime divisors (128).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444411) 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 5 ways as a sum of consecutive naturals, for example, 21576 + ... + 21688.

2^2444416 is an apocalyptic number.

2444416 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 2444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659905).

2444416 is an abundant number, since it is smaller than the sum of its proper divisors (2875394).

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

2444416 is a wasteful number, since it uses less digits than its factorization.

2444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 2444416 is about 1563.4628233508. The cubic root of 2444416 is about 134.7074781816.

Adding to 2444416 its reverse (6144442), we get a palindrome (8588858).

The spelling of 2444416 in words is "two million, four hundred forty-four thousand, four hundred sixteen".