2221921441152 has 384 divisors, whose sum is σ = 7356995942400. Its totient is φ = 630525358080.

The previous prime is 2221921441123. The next prime is 2221921441153. The reversal of 2221921441152 is 2511441291222.

2221921441152 is a `hidden beast` number, since 2 + 2 + 2 + 192 + 1 + 4 + 411 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221921441153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796100877 + ... + 796103667.

It is an arithmetic number, because the mean of its divisors is an integer number (19158843600).

Almost surely, 2^{2221921441152} 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 2221921441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678497971200).

2221921441152 is an abundant number, since it is smaller than the sum of its proper divisors (5135074501248).

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

2221921441152 is a wasteful number, since it uses less digits than its factorization.

2221921441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3439 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 2221921441152 in words is "two trillion, two hundred twenty-one billion, nine hundred twenty-one million, four hundred forty-one thousand, one hundred fifty-two".