2201105088 has 336 divisors, whose sum is σ = 7932724800. Its totient is φ = 579833856.

The previous prime is 2201105087. The next prime is 2201105117. The reversal of 2201105088 is 8805011022.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2201105087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2567956 + ... + 2568812.

It is an arithmetic number, because the mean of its divisors is an integer number (23609300).

Almost surely, 2^2201105088 is an apocalyptic number.

2201105088 is a gapful number since it is divisible by the number (28) 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 2201105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966362400).

2201105088 is an abundant number, since it is smaller than the sum of its proper divisors (5731619712).

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

2201105088 is a wasteful number, since it uses less digits than its factorization.

2201105088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2201105088 is about 46915.9363969217. The cubic root of 2201105088 is about 1300.8091782779.

The spelling of 2201105088 in words is "two billion, two hundred one million, one hundred five thousand, eighty-eight".