2211982032960 has 1344 divisors, whose sum is σ = 9196653053952. Its totient is φ = 495661400064.

The previous prime is 2211982032959. The next prime is 2211982033039. The reversal of 2211982032960 is 692302891122.

2211982032960 is a `hidden beast` number, since 2 + 211 + 98 + 20 + 329 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9493485004 + ... + 9493485236.

It is an arithmetic number, because the mean of its divisors is an integer number (6842747808).

Almost surely, 2^{2211982032960} is an apocalyptic number.

2211982032960 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 2211982032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598326526976).

2211982032960 is an abundant number, since it is smaller than the sum of its proper divisors (6984671020992).

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

2211982032960 is a wasteful number, since it uses less digits than its factorization.

2211982032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2211982032960 in words is "two trillion, two hundred eleven billion, nine hundred eighty-two million, thirty-two thousand, nine hundred sixty".