2212132320 has 144 divisors (see below), whose sum is σ = 7753112640. Its totient is φ = 573944832.

The previous prime is 2212132309. The next prime is 2212132397. The reversal of 2212132320 is 232312122.

2212132320 is a `hidden beast` number, since 2 + 212 + 132 + 320 = 666.

2212132320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212132293 and 2212132302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32521 + ... + 74039.

It is an arithmetic number, because the mean of its divisors is an integer number (53841060).

Almost surely, 2^2212132320 is an apocalyptic number.

2212132320 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 2212132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876556320).

2212132320 is an abundant number, since it is smaller than the sum of its proper divisors (5540980320).

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

2212132320 is a wasteful number, since it uses less digits than its factorization.

2212132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41577 (or 41566 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2212132320 is about 47033.3107488724. The cubic root of 2212132320 is about 1302.9778520596.

Adding to 2212132320 its reverse (232312122), we get a palindrome (2444444442).

The spelling of 2212132320 in words is "two billion, two hundred twelve million, one hundred thirty-two thousand, three hundred twenty".