2638224 has 80 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 846720.

The previous prime is 2638201. The next prime is 2638231. The reversal of 2638224 is 4228362.

2638224 is a `hidden beast` number, since 2 + 638 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13294 + ... + 13490.

It is an arithmetic number, because the mean of its divisors is an integer number (98208).

2^2638224 is an apocalyptic number.

2638224 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 2638224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

2638224 is an abundant number, since it is smaller than the sum of its proper divisors (5218416).

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

2638224 is a wasteful number, since it uses less digits than its factorization.

2638224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2638224 is about 1624.2610627605. The cubic root of 2638224 is about 138.1774654467.

The spelling of 2638224 in words is "two million, six hundred thirty-eight thousand, two hundred twenty-four".