2272105638 has 48 divisors (see below), whose sum is σ = 5495345856. Its totient is φ = 672502320.

The previous prime is 2272105637. The next prime is 2272105639. The reversal of 2272105638 is 8365012722.

2272105638 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 10 + 5 + 638 = 666.

2272105638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2272105637) and next prime (2272105639).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272105637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124920 + ... + 141947.

It is an arithmetic number, because the mean of its divisors is an integer number (114486372).

Almost surely, 2^2272105638 is an apocalyptic number.

2272105638 is an abundant number, since it is smaller than the sum of its proper divisors (3223240218).

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

2272105638 is a wasteful number, since it uses less digits than its factorization.

2272105638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266929 (or 266926 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2272105638 is about 47666.6092563757. The cubic root of 2272105638 is about 1314.6480647732.

The spelling of 2272105638 in words is "two billion, two hundred seventy-two million, one hundred five thousand, six hundred thirty-eight".