2201181984 has 108 divisors (see below), whose sum is σ = 6323821686. Its totient is φ = 726257664.

The previous prime is 2201181959. The next prime is 2201182007. The reversal of 2201181984 is 4891811022.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2058618384 + 142563600 = 45372^2 + 11940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11061117 + ... + 11061315.

Almost surely, 2^2201181984 is an apocalyptic number.

2201181984 is a gapful number since it is divisible by the number (24) 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 2201181984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161910843).

2201181984 is an abundant number, since it is smaller than the sum of its proper divisors (4122639702).

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

2201181984 is a wasteful number, since it uses less digits than its factorization.

2201181984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2201181984 is about 46916.7558980797. The cubic root of 2201181984 is about 1300.8243261020.

The spelling of 2201181984 in words is "two billion, two hundred one million, one hundred eighty-one thousand, nine hundred eighty-four".