2271831120 has 240 divisors, whose sum is σ = 8257721472. Its totient is φ = 556416000.

The previous prime is 2271831119. The next prime is 2271831127. The reversal of 2271831120 is 211381722.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2271831120² = 10322433275600908800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271831127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2348877 + ... + 2349843.

Almost surely, 2^2271831120 is an apocalyptic number.

2271831120 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 2271831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128860736).

2271831120 is an abundant number, since it is smaller than the sum of its proper divisors (5985890352).

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

2271831120 is a wasteful number, since it uses less digits than its factorization.

2271831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2271831120 is about 47663.7296064838. The cubic root of 2271831120 is about 1314.5951169573.

The spelling of 2271831120 in words is "two billion, two hundred seventy-one million, eight hundred thirty-one thousand, one hundred twenty".