2201084160 has 288 divisors, whose sum is σ = 7756342272. Its totient is φ = 527523840.

The previous prime is 2201084143. The next prime is 2201084183. The reversal of 2201084160 is 614801022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2201084160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4519437 + ... + 4519923.

It is an arithmetic number, because the mean of its divisors is an integer number (26931744).

Almost surely, 2^2201084160 is an apocalyptic number.

2201084160 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 2201084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878171136).

2201084160 is an abundant number, since it is smaller than the sum of its proper divisors (5555258112).

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

2201084160 is a wasteful number, since it uses less digits than its factorization.

2201084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2201084160 is about 46915.7133591721. The cubic root of 2201084160 is about 1300.8050555881.

Adding to 2201084160 its reverse (614801022), we get a palindrome (2815885182).

The spelling of 2201084160 in words is "two billion, two hundred one million, eighty-four thousand, one hundred sixty".