2272133760 has 512 divisors, whose sum is σ = 8369222400. Its totient is φ = 520224768.

The previous prime is 2272133749. The next prime is 2272133761. The reversal of 2272133760 is 673312722.

It is not an unprimeable number, because it can be changed into a prime (2272133761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31125084 + ... + 31125156.

Almost surely, 2^2272133760 is an apocalyptic number.

2272133760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184611200).

2272133760 is an abundant number, since it is smaller than the sum of its proper divisors (6097088640).

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

2272133760 is a wasteful number, since it uses less digits than its factorization.

2272133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 2272133760 is about 47666.9042418322. The cubic root of 2272133760 is about 1314.6534885791.

The spelling of 2272133760 in words is "two billion, two hundred seventy-two million, one hundred thirty-three thousand, seven hundred sixty".