2232172800 has 648 divisors, whose sum is σ = 9410314368. Its totient is φ = 497664000.

The previous prime is 2232172771. The next prime is 2232172807. The reversal of 2232172800 is 82712322.

It is a happy number.

It is a super-3 number, since 3×2232172800³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232172807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8236665 + ... + 8236935.

Almost surely, 2^2232172800 is an apocalyptic number.

2232172800 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 2232172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705157184).

2232172800 is an abundant number, since it is smaller than the sum of its proper divisors (7178141568).

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

2232172800 is a wasteful number, since it uses less digits than its factorization.

2232172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2232172800 is about 47245.8760105049. The cubic root of 2232172800 is about 1306.9007401476.

The spelling of 2232172800 in words is "two billion, two hundred thirty-two million, one hundred seventy-two thousand, eight hundred".