2638824 has 32 divisors (see below), whose sum is σ = 6753120. Its totient is φ = 858816.

The previous prime is 2638793. The next prime is 2638841. The reversal of 2638824 is 4288362.

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

It is an Ulam 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, 247 + ... + 2310.

It is an arithmetic number, because the mean of its divisors is an integer number (211035).

2^2638824 is an apocalyptic number.

2638824 is a gapful number since it is divisible by the number (24) 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 2638824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376560).

2638824 is an abundant number, since it is smaller than the sum of its proper divisors (4114296).

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

2638824 is a wasteful number, since it uses less digits than its factorization.

2638824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2605 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2638824 is about 1624.4457516335. The cubic root of 2638824 is about 138.1879396894.

It can be divided in two parts, 2638 and 824, that multiplied together give a palindrome (2173712).

The spelling of 2638824 in words is "two million, six hundred thirty-eight thousand, eight hundred twenty-four".