2172305221632 has 2304 divisors, whose sum is σ = 8808970060800. Its totient is φ = 499415777280.

The previous prime is 2172305221621. The next prime is 2172305221637. The reversal of 2172305221632 is 2361225032712.

2172305221632 is a `hidden beast` number, since 2 + 1 + 72 + 3 + 0 + 522 + 1 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (2172305221637) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30595848157 + ... + 30595848227.

It is an arithmetic number, because the mean of its divisors is an integer number (3823337700).

Almost surely, 2^{2172305221632} 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 2172305221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404485030400).

2172305221632 is an abundant number, since it is smaller than the sum of its proper divisors (6636664839168).

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

2172305221632 is a wasteful number, since it uses less digits than its factorization.

2172305221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2172305221632 in words is "two trillion, one hundred seventy-two billion, three hundred five million, two hundred twenty-one thousand, six hundred thirty-two".