2322672000 has 512 divisors, whose sum is σ = 8661219840. Its totient is φ = 545792000.

The previous prime is 2322671983. The next prime is 2322672013. The reversal of 2322672000 is 2762232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 27983959 + ... + 27984041.

It is an arithmetic number, because the mean of its divisors is an integer number (16916445).

Almost surely, 2^2322672000 is an apocalyptic number.

2322672000 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 2322672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330609920).

2322672000 is an abundant number, since it is smaller than the sum of its proper divisors (6338547840).

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

2322672000 is a wasteful number, since it uses less digits than its factorization.

2322672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2322672000 is about 48194.1075236382. The cubic root of 2322672000 is about 1324.3292202242.

The spelling of 2322672000 in words is "two billion, three hundred twenty-two million, six hundred seventy-two thousand".