2493216 has 72 divisors (see below), whose sum is σ = 7744464. Its totient is φ = 754560.

The previous prime is 2493193. The next prime is 2493221. The reversal of 2493216 is 6123942.

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

It is a super-2 number, since 2×2493216² = 12432252045312, which contains 22 as substring.

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 2493216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2775 + ... + 3561.

It is an arithmetic number, because the mean of its divisors is an integer number (107562).

2^2493216 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 2493216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872232).

2493216 is an abundant number, since it is smaller than the sum of its proper divisors (5251248).

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

2493216 is a wasteful number, since it uses less digits than its factorization.

2493216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2493216 is about 1578.9920835774. The cubic root of 2493216 is about 135.5980055571.

The spelling of 2493216 in words is "two million, four hundred ninety-three thousand, two hundred sixteen".