2172352000 has 320 divisors, whose sum is σ = 6684822144. Its totient is φ = 685670400.

The previous prime is 2172351943. The next prime is 2172352003. The reversal of 2172352000 is 2532712.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2172352000² = 9438226423808000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172352003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5823814 + ... + 5824186.

Almost surely, 2^2172352000 is an apocalyptic number.

2172352000 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 2172352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342411072).

2172352000 is an abundant number, since it is smaller than the sum of its proper divisors (4512470144).

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

2172352000 is an equidigital number, since it uses as much as digits as its factorization.

2172352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2172352000 is about 46608.4970793953. The cubic root of 2172352000 is about 1295.1201669422.

Adding to 2172352000 its reverse (2532712), we get a palindrome (2174884712).

The spelling of 2172352000 in words is "two billion, one hundred seventy-two million, three hundred fifty-two thousand".