2638438272 has 160 divisors (see below), whose sum is σ = 8106225600. Its totient is φ = 851005440.

The previous prime is 2638438259. The next prime is 2638438367. The reversal of 2638438272 is 2728348362.

2638438272 is a `hidden beast` number, since 2 + 638 + 4 + 3 + 8 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×2638438272² = 13922713030308691968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 317304 + ... + 325512.

It is an arithmetic number, because the mean of its divisors is an integer number (50663910).

Almost surely, 2^2638438272 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 2638438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053112800).

2638438272 is an abundant number, since it is smaller than the sum of its proper divisors (5467787328).

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

2638438272 is an equidigital number, since it uses as much as digits as its factorization.

2638438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8245 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2638438272 is about 51365.7305214284. The cubic root of 2638438272 is about 1381.8120619052.

The spelling of 2638438272 in words is "two billion, six hundred thirty-eight million, four hundred thirty-eight thousand, two hundred seventy-two".