2440416 has 48 divisors (see below), whose sum is σ = 6991488. Its totient is φ = 739200.

The previous prime is 2440411. The next prime is 2440421. The reversal of 2440416 is 6140442.

It is an interprime number because it is at equal distance from previous prime (2440411) and next prime (2440421).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2440392 and 2440401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 2211.

It is an arithmetic number, because the mean of its divisors is an integer number (145656).

2^2440416 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 2440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495744).

2440416 is an abundant number, since it is smaller than the sum of its proper divisors (4551072).

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

2440416 is a wasteful number, since it uses less digits than its factorization.

2440416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2440416 is about 1562.1830878613. The cubic root of 2440416 is about 134.6339604047.

Adding to 2440416 its reverse (6140442), we get a palindrome (8580858).

The spelling of 2440416 in words is "two million, four hundred forty thousand, four hundred sixteen".