2663584 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 971520.

The previous prime is 2663581. The next prime is 2663603. The reversal of 2663584 is 4853662.

It is a happy number.

It is a d-powerful number, because it can be written as 2¹⁹ + 6³ + 6⁵ + 3¹¹ + 5⁹ + 8 + 4⁵ .

Its product of digits (34560) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (2663581) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56649 + ... + 56695.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2^2663584 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 2663584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2663584 is an abundant number, since it is smaller than the sum of its proper divisors (4303712).

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

2663584 is a wasteful number, since it uses less digits than its factorization.

2663584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 2663584 is about 1632.0490188717. The cubic root of 2663584 is about 138.6187992244.

The spelling of 2663584 in words is "two million, six hundred sixty-three thousand, five hundred eighty-four".