2240416 has 24 divisors (see below), whose sum is σ = 4497444. Its totient is φ = 1098240.

The previous prime is 2240389. The next prime is 2240431. The reversal of 2240416 is 6140422.

It can be written as a sum of positive squares in 2 ways, for example, as 1948816 + 291600 = 1396^2 + 540^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2240393 and 2240402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1036 + ... + 2356.

2^2240416 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 2240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248722).

2240416 is an abundant number, since it is smaller than the sum of its proper divisors (2257028).

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

2240416 is a wasteful number, since it uses less digits than its factorization.

2240416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2240416 is about 1496.8019241035. The cubic root of 2240416 is about 130.8507516894.

Adding to 2240416 its reverse (6140422), we get a palindrome (8380838).

The spelling of 2240416 in words is "two million, two hundred forty thousand, four hundred sixteen".