2271833640 has 96 divisors (see below), whose sum is σ = 7396931880. Its totient is φ = 604717056.

The previous prime is 2271833623. The next prime is 2271833693. The reversal of 2271833640 is 463381722.

It is a happy number.

2271833640 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 8 + 3 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2203175844 + 68657796 = 46938^2 + 8286^2 .

It is a super-2 number, since 2×2271833640² = 10322456175671299200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2271833595 and 2271833604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202252 + ... + 213188.

Almost surely, 2^2271833640 is an apocalyptic number.

2271833640 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 2271833640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698465940).

2271833640 is an abundant number, since it is smaller than the sum of its proper divisors (5125098240).

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

2271833640 is a wasteful number, since it uses less digits than its factorization.

2271833640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11524 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2271833640 is about 47663.7560416717. The cubic root of 2271833640 is about 1314.5956030231.

The spelling of 2271833640 in words is "two billion, two hundred seventy-one million, eight hundred thirty-three thousand, six hundred forty".