2638944 has 216 divisors, whose sum is σ = 10083528. Its totient is φ = 645120.

The previous prime is 2638931. The next prime is 2638949. The reversal of 2638944 is 4498362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 2¹⁹ + 6 + 3⁴ + 8⁷ + 9 + 4⁵ + 4⁷ .

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2638899 and 2638908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638949) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155224 + ... + 155240.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

2^2638944 is an apocalyptic number.

2638944 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 2638944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041764).

2638944 is an abundant number, since it is smaller than the sum of its proper divisors (7444584).

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

2638944 is a wasteful number, since it uses less digits than its factorization.

2638944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2638944 is about 1624.4826868884. The cubic root of 2638944 is about 138.1900343474.

The spelling of 2638944 in words is "two million, six hundred thirty-eight thousand, nine hundred forty-four".