2271997760 has 56 divisors (see below), whose sum is σ = 5420234016. Its totient is φ = 907112960.

The previous prime is 2271997733. The next prime is 2271997771. The reversal of 2271997760 is 677991722.

It is a junction number, because it is equal to n+sod(n) for n = 2271997699 and 2271997708.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 173855 + ... + 186465.

Almost surely, 2^2271997760 is an apocalyptic number.

2271997760 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 2271997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710117008).

2271997760 is an abundant number, since it is smaller than the sum of its proper divisors (3148236256).

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

2271997760 is a wasteful number, since it uses less digits than its factorization.

2271997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13191 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 50.

The square root of 2271997760 is about 47665.4776541681. The cubic root of 2271997760 is about 1314.6272582511.

The spelling of 2271997760 in words is "two billion, two hundred seventy-one million, nine hundred ninety-seven thousand, seven hundred sixty".