2638038 has 32 divisors (see below), whose sum is σ = 5870592. Its totient is φ = 784800.

The previous prime is 2638003. The next prime is 2638039. The reversal of 2638038 is 8308362.

It is a super-3 number, since 3×2638038³ = 55076254243331612616, which contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2637996 and 2638014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1873 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

2^2638038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296).

2638038 is an abundant number, since it is smaller than the sum of its proper divisors (3232554).

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

2638038 is a wasteful number, since it uses less digits than its factorization.

2638038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2638038 is about 1624.2038049457. The cubic root of 2638038 is about 138.1742181090.

The spelling of 2638038 in words is "two million, six hundred thirty-eight thousand, thirty-eight".