2172061200 has 120 divisors (see below), whose sum is σ = 6985901088. Its totient is φ = 576880640.

The previous prime is 2172061153. The next prime is 2172061201. The reversal of 2172061200 is 21602712.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2172061201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 304879 + ... + 311921.

Almost surely, 2^2172061200 is an apocalyptic number.

2172061200 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 2172061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492950544).

2172061200 is an abundant number, since it is smaller than the sum of its proper divisors (4813839888).

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

2172061200 is a wasteful number, since it uses less digits than its factorization.

2172061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321 (or 7310 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2172061200 is about 46605.3773721445. The cubic root of 2172061200 is about 1295.0623743206.

Adding to 2172061200 its reverse (21602712), we get a palindrome (2193663912).

The spelling of 2172061200 in words is "two billion, one hundred seventy-two million, sixty-one thousand, two hundred".