2271885120 has 84 divisors (see below), whose sum is σ = 7814348100. Its totient is φ = 605835264.

The previous prime is 2271885113. The next prime is 2271885131. The reversal of 2271885120 is 215881722.

It can be written as a sum of positive squares in 2 ways, for example, as 810199296 + 1461685824 = 28464^2 + 38232^2 .

It is a super-2 number, since 2×2271885120² = 10322923996954828800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391545 + ... + 397304.

Almost surely, 2^2271885120 is an apocalyptic number.

2271885120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2271885120 is an abundant number, since it is smaller than the sum of its proper divisors (5542462980).

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

2271885120 is a wasteful number, since it uses less digits than its factorization.

2271885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788872 (or 788859 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2271885120 is about 47664.2960715880. The cubic root of 2271885120 is about 1314.6055325751.

The spelling of 2271885120 in words is "two billion, two hundred seventy-one million, eight hundred eighty-five thousand, one hundred twenty".