2638272 has 112 divisors (see below), whose sum is σ = 8648192. Its totient is φ = 691200.

The previous prime is 2638271. The next prime is 2638297. The reversal of 2638272 is 2728362.

It is a tau number, because it is divible by the number of its divisors (112).

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 2³ + 6 + 3 + 8 + 2¹⁹ + 7⁵ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638271) 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, 17397 + ... + 17547.

It is an arithmetic number, because the mean of its divisors is an integer number (77216).

2^2638272 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 2638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324096).

2638272 is an abundant number, since it is smaller than the sum of its proper divisors (6009920).

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

2638272 is a wasteful number, since it uses less digits than its factorization.

2638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2638272 is about 1624.2758386432. The cubic root of 2638272 is about 138.1783034446.

The spelling of 2638272 in words is "two million, six hundred thirty-eight thousand, two hundred seventy-two".