2248416 has 72 divisors (see below), whose sum is σ = 6597864. Its totient is φ = 725760.

The previous prime is 2248381. The next prime is 2248423. The reversal of 2248416 is 6148422.

2248416 is a `hidden beast` number, since 2 + 248 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2248416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10551 + ... + 10761.

It is an arithmetic number, because the mean of its divisors is an integer number (91637).

2^2248416 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 2248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298932).

2248416 is an abundant number, since it is smaller than the sum of its proper divisors (4349448).

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

2248416 is a wasteful number, since it uses less digits than its factorization.

2248416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2248416 is about 1499.4719070393. The cubic root of 2248416 is about 131.0063124593.

It can be divided in two parts, 22484 and 16, that added together give a square (22500 = 150²).

The spelling of 2248416 in words is "two million, two hundred forty-eight thousand, four hundred sixteen".