2211001132320 has 576 divisors, whose sum is σ = 7878538283616. Its totient is φ = 564151910400.

The previous prime is 2211001132313. The next prime is 2211001132337. The reversal of 2211001132320 is 232311001122.

2211001132320 is a `hidden beast` number, since 2 + 211 + 0 + 0 + 1 + 132 + 320 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1663821371664 + 547179760656 = 1289892^2 + 739716^2 .

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 = 2211001132293 and 2211001132302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 844859652 + ... + 844862268.

Almost surely, 2^{2211001132320} is an apocalyptic number.

2211001132320 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 2211001132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939269141808).

2211001132320 is an abundant number, since it is smaller than the sum of its proper divisors (5667537151296).

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

2211001132320 is a wasteful number, since it uses less digits than its factorization.

2211001132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2211001132320 its reverse (232311001122), we get a palindrome (2443312133442).

The spelling of 2211001132320 in words is "two trillion, two hundred eleven billion, one million, one hundred thirty-two thousand, three hundred twenty".