2271144810 has 128 divisors (see below), whose sum is σ = 6125912064. Its totient is φ = 534159360.

The previous prime is 2271144797. The next prime is 2271144833. The reversal of 2271144810 is 184411722.

It is a super-2 number, since 2×2271144810² = 10316197495979872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1969194 + ... + 1970346.

It is an arithmetic number, because the mean of its divisors is an integer number (47858688).

Almost surely, 2^2271144810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271144810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062956032).

2271144810 is an abundant number, since it is smaller than the sum of its proper divisors (3854767254).

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

2271144810 is a wasteful number, since it uses less digits than its factorization.

2271144810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2271144810 is about 47656.5295631144. The cubic root of 2271144810 is about 1314.4627258603.

The spelling of 2271144810 in words is "two billion, two hundred seventy-one million, one hundred forty-four thousand, eight hundred ten".