2211853952 has 256 divisors, whose sum is σ = 5971553280. Its totient is φ = 789626880.

The previous prime is 2211853939. The next prime is 2211853957. The reversal of 2211853952 is 2593581122.

It is not an unprimeable number, because it can be changed into a prime (2211853957) 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 31 ways as a sum of consecutive naturals, for example, 7204583 + ... + 7204889.

It is an arithmetic number, because the mean of its divisors is an integer number (23326380).

Almost surely, 2^2211853952 is an apocalyptic number.

2211853952 is a gapful number since it is divisible by the number (22) 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 2211853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985776640).

2211853952 is an abundant number, since it is smaller than the sum of its proper divisors (3759699328).

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

2211853952 is a wasteful number, since it uses less digits than its factorization.

2211853952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 2211853952 is about 47030.3513914153. The cubic root of 2211853952 is about 1302.9231955109.

The spelling of 2211853952 in words is "two billion, two hundred eleven million, eight hundred fifty-three thousand, nine hundred fifty-two".