2246816 has 48 divisors (see below), whose sum is σ = 5207328. Its totient is φ = 940800.

The previous prime is 2246791. The next prime is 2246831. The reversal of 2246816 is 6186422.

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, 4331 + ... + 4821.

It is an arithmetic number, because the mean of its divisors is an integer number (108486).

2^2246816 is an apocalyptic number.

2246816 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 2246816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603664).

2246816 is an abundant number, since it is smaller than the sum of its proper divisors (2960512).

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

2246816 is a wasteful number, since it uses less digits than its factorization.

2246816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 2246816 is about 1498.9382909246. The cubic root of 2246816 is about 130.9752298601.

The spelling of 2246816 in words is "two million, two hundred forty-six thousand, eight hundred sixteen".