2272641120 has 144 divisors (see below), whose sum is σ = 7785545040. Its totient is φ = 603681792.

The previous prime is 2272641103. The next prime is 2272641143. The reversal of 2272641120 is 211462722.

2272641120 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 641 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384427 + ... + 390293.

It is an arithmetic number, because the mean of its divisors is an integer number (54066285).

Almost surely, 2^2272641120 is an apocalyptic number.

2272641120 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 2272641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892772520).

2272641120 is an abundant number, since it is smaller than the sum of its proper divisors (5512903920).

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

2272641120 is a wasteful number, since it uses less digits than its factorization.

2272641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2272641120 is about 47672.2258762899. The cubic root of 2272641120 is about 1314.7513338975.

The spelling of 2272641120 in words is "two billion, two hundred seventy-two million, six hundred forty-one thousand, one hundred twenty".