2327632000 has 64 divisors (see below), whose sum is σ = 5787114840. Its totient is φ = 931046400.

The previous prime is 2327631967. The next prime is 2327632009. The reversal of 2327632000 is 2367232.

It can be written as a sum of positive squares in 4 ways, for example, as 344176704 + 1983455296 = 18552^2 + 44536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 (2327632009) 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 7 ways as a sum of consecutive naturals, for example, 56739 + ... + 88738.

Almost surely, 2^2327632000 is an apocalyptic number.

2327632000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2327632000 is an abundant number, since it is smaller than the sum of its proper divisors (3459482840).

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

2327632000 is an equidigital number, since it uses as much as digits as its factorization.

2327632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145506 (or 145484 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 2327632000 is about 48245.5386538486. The cubic root of 2327632000 is about 1325.2712391193.

Adding to 2327632000 its reverse (2367232), we get a palindrome (2329999232).

The spelling of 2327632000 in words is "two billion, three hundred twenty-seven million, six hundred thirty-two thousand".