2271643920 has 720 divisors, whose sum is σ = 9933649920. Its totient is φ = 475517952.

The previous prime is 2271643879. The next prime is 2271643949. The reversal of 2271643920 is 293461722.

2271643920 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 643 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17886897 + ... + 17887023.

It is an arithmetic number, because the mean of its divisors is an integer number (13796736).

Almost surely, 2^2271643920 is an apocalyptic number.

2271643920 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 2271643920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966824960).

2271643920 is an abundant number, since it is smaller than the sum of its proper divisors (7662006000).

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

2271643920 is a wasteful number, since it uses less digits than its factorization.

2271643920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2271643920 is about 47661.7658086647. The cubic root of 2271643920 is about 1314.5590082044.

The spelling of 2271643920 in words is "two billion, two hundred seventy-one million, six hundred forty-three thousand, nine hundred twenty".