2201541120 has 240 divisors, whose sum is σ = 7909181280. Its totient is φ = 586911744.

The previous prime is 2201541109. The next prime is 2201541149. The reversal of 2201541120 is 211451022.

2201541120 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 541 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2201541093 and 2201541102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620311 + ... + 623849.

It is an arithmetic number, because the mean of its divisors is an integer number (32954922).

Almost surely, 2^2201541120 is an apocalyptic number.

2201541120 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 2201541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954590640).

2201541120 is an abundant number, since it is smaller than the sum of its proper divisors (5707640160).

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

2201541120 is an frugal number, since it uses more digits than its factorization.

2201541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2201541120 is about 46920.5831165811. The cubic root of 2201541120 is about 1300.8950680100.

Adding to 2201541120 its reverse (211451022), we get a palindrome (2412992142).

The spelling of 2201541120 in words is "two billion, two hundred one million, five hundred forty-one thousand, one hundred twenty".