2271773952 has 504 divisors, whose sum is σ = 8149967616. Its totient is φ = 618098688.

The previous prime is 2271773929. The next prime is 2271773981. The reversal of 2271773952 is 2593771722.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×2271773952³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2271773898 and 2271773907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48335593 + ... + 48335639.

Almost surely, 2^2271773952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074983808).

2271773952 is an abundant number, since it is smaller than the sum of its proper divisors (5878193664).

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

2271773952 is an frugal number, since it uses more digits than its factorization.

2271773952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 2271773952 is about 47663.1299014238. The cubic root of 2271773952 is about 1314.5840901101.

It can be divided in two parts, 22717 and 73952, that added together give a palindrome (96669).

The spelling of 2271773952 in words is "two billion, two hundred seventy-one million, seven hundred seventy-three thousand, nine hundred fifty-two".