2284416 has 64 divisors (see below), whose sum is σ = 6752400. Its totient is φ = 760320.

The previous prime is 2284391. The next prime is 2284423. The reversal of 2284416 is 6144822.

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

It is a super-2 number, since 2×2284416² = 10437112922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2284416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3126 + ... + 3786.

2^2284416 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 2284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376200).

2284416 is an abundant number, since it is smaller than the sum of its proper divisors (4467984).

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

2284416 is an equidigital number, since it uses as much as digits as its factorization.

2284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

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

The square root of 2284416 is about 1511.4284634080. The cubic root of 2284416 is about 131.7018062133.

The spelling of 2284416 in words is "two million, two hundred eighty-four thousand, four hundred sixteen".