2332164000 has 192 divisors, whose sum is σ = 7714586880. Its totient is φ = 615859200.

The previous prime is 2332163969. The next prime is 2332164019. The reversal of 2332164000 is 4612332.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307109 + ... + 1308891.

It is an arithmetic number, because the mean of its divisors is an integer number (40180140).

Almost surely, 2^2332164000 is an apocalyptic number.

2332164000 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 2332164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857293440).

2332164000 is an abundant number, since it is smaller than the sum of its proper divisors (5382422880).

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

2332164000 is a wasteful number, since it uses less digits than its factorization.

2332164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2332164000 is about 48292.4838872469. The cubic root of 2332164000 is about 1326.1308015992.

Adding to 2332164000 its reverse (4612332), we get a palindrome (2336776332).

The spelling of 2332164000 in words is "two billion, three hundred thirty-two million, one hundred sixty-four thousand".