2211982752 has 96 divisors (see below), whose sum is σ = 6698184192. Its totient is φ = 626068224.

The previous prime is 2211982741. The next prime is 2211982753. The reversal of 2211982752 is 2572891122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2211982752.

It is not an unprimeable number, because it can be changed into a prime (2211982753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56523 + ... + 87285.

It is an arithmetic number, because the mean of its divisors is an integer number (69772752).

Almost surely, 2^2211982752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211982752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349092096).

2211982752 is an abundant number, since it is smaller than the sum of its proper divisors (4486201440).

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

2211982752 is a wasteful number, since it uses less digits than its factorization.

2211982752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30890 (or 30882 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 2211982752 is about 47031.7206999701. The cubic root of 2211982752 is about 1302.9484854945.

The spelling of 2211982752 in words is "two billion, two hundred eleven million, nine hundred eighty-two thousand, seven hundred fifty-two".