2272071564 has 144 divisors (see below), whose sum is σ = 6718700352. Its totient is φ = 634023936.

The previous prime is 2272071563. The next prime is 2272071577. The reversal of 2272071564 is 4651702722.

It is a happy number.

2272071564 is a `hidden beast` number, since 2 + 2 + 7 + 20 + 71 + 564 = 666.

2272071564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2272071563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078202 + ... + 2079294.

Almost surely, 2^2272071564 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 2272071564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359350176).

2272071564 is an abundant number, since it is smaller than the sum of its proper divisors (4446628788).

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

2272071564 is a wasteful number, since it uses less digits than its factorization.

2272071564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2272071564 is about 47666.2518350247. The cubic root of 2272071564 is about 1314.6414929628.

The spelling of 2272071564 in words is "two billion, two hundred seventy-two million, seventy-one thousand, five hundred sixty-four".