2202441120 has 288 divisors, whose sum is σ = 8682448320. Its totient is φ = 502456320.

The previous prime is 2202441091. The next prime is 2202441161. The reversal of 2202441120 is 211442022.

2202441120 is a `hidden beast` number, since 2 + 202 + 441 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2202441093 and 2202441102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265191 + ... + 273369.

It is an arithmetic number, because the mean of its divisors is an integer number (30147390).

Almost surely, 2^2202441120 is an apocalyptic number.

2202441120 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 2202441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341224160).

2202441120 is an abundant number, since it is smaller than the sum of its proper divisors (6480007200).

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

2202441120 is a wasteful number, since it uses less digits than its factorization.

2202441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8228 (or 8217 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2202441120 is about 46930.1728102508. The cubic root of 2202441120 is about 1301.0723144615.

Adding to 2202441120 its reverse (211442022), we get a palindrome (2413883142).

The spelling of 2202441120 in words is "two billion, two hundred two million, four hundred forty-one thousand, one hundred twenty".