2321872000 has 128 divisors (see below), whose sum is σ = 6597751680. Its totient is φ = 796032000.

The previous prime is 2321871977. The next prime is 2321872009. The reversal of 2321872000 is 2781232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2321872009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101635 + ... + 122365.

It is an arithmetic number, because the mean of its divisors is an integer number (51544935).

Almost surely, 2^2321872000 is an apocalyptic number.

2321872000 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 2321872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298875840).

2321872000 is an abundant number, since it is smaller than the sum of its proper divisors (4275879680).

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

2321872000 is an equidigital number, since it uses as much as digits as its factorization.

2321872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20767 (or 20745 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2321872000 is about 48185.8070390027. The cubic root of 2321872000 is about 1324.1771561307.

The spelling of 2321872000 in words is "two billion, three hundred twenty-one million, eight hundred seventy-two thousand".