2272088016 has 160 divisors (see below), whose sum is σ = 7135257600. Its totient is φ = 686517120.

The previous prime is 2272088009. The next prime is 2272088017. The reversal of 2272088016 is 6108802722.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272088017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3074175 + ... + 3074913.

It is an arithmetic number, because the mean of its divisors is an integer number (44595360).

Almost surely, 2^2272088016 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 2272088016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567628800).

2272088016 is an abundant number, since it is smaller than the sum of its proper divisors (4863169584).

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

2272088016 is a wasteful number, since it uses less digits than its factorization.

2272088016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2272088016 is about 47666.4244096408. The cubic root of 2272088016 is about 1314.6446660480.

The spelling of 2272088016 in words is "two billion, two hundred seventy-two million, eighty-eight thousand, sixteen".