2205620172 has 192 divisors, whose sum is σ = 6945792000. Its totient is φ = 591784704.

The previous prime is 2205620159. The next prime is 2205620177. The reversal of 2205620172 is 2710265022.

2205620172 is a `hidden beast` number, since 2 + 20 + 5 + 620 + 17 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2205620177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809829 + ... + 812547.

It is an arithmetic number, because the mean of its divisors is an integer number (36176000).

Almost surely, 2^2205620172 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 2205620172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472896000).

2205620172 is an abundant number, since it is smaller than the sum of its proper divisors (4740171828).

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

2205620172 is a wasteful number, since it uses less digits than its factorization.

2205620172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2205620172 is about 46964.0306191877. The cubic root of 2205620172 is about 1301.6980123167.

Adding to 2205620172 its reverse (2710265022), we get a palindrome (4915885194).

The spelling of 2205620172 in words is "two billion, two hundred five million, six hundred twenty thousand, one hundred seventy-two".