2663424 has 99 divisors (see below), whose sum is σ = 8169577. Its totient is φ = 835584.

The previous prime is 2663393. The next prime is 2663429. The reversal of 2663424 is 4243662.

The square root of 2663424 is 1632.

It is a perfect power (a square), and thus also a powerful number.

2663424 is a `hidden beast` number, since 2 + 6 + 634 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 589824 = 1440^2 + 768^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2663429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156664 + ... + 156680.

2^2663424 is an apocalyptic number.

2663424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2663424 is the 1632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2663424

2663424 is an abundant number, since it is smaller than the sum of its proper divisors (5506153).

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

2663424 is a wasteful number, since it uses less digits than its factorization.

2663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 22 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The cubic root of 2663424 is about 138.6160235842.

The spelling of 2663424 in words is "two million, six hundred sixty-three thousand, four hundred twenty-four".