2363216000 has 128 divisors (see below), whose sum is σ = 5926901760. Its totient is φ = 937036800.

The previous prime is 2363215997. The next prime is 2363216041. The reversal of 2363216000 is 6123632.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2031419 + ... + 2032581.

It is an arithmetic number, because the mean of its divisors is an integer number (46303920).

Almost surely, 2^2363216000 is an apocalyptic number.

2363216000 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 2363216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963450880).

2363216000 is an abundant number, since it is smaller than the sum of its proper divisors (3563685760).

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

2363216000 is a wasteful number, since it uses less digits than its factorization.

2363216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 2363216000 is about 48612.9200933250. The cubic root of 2363216000 is about 1331.9905370164.

Adding to 2363216000 its reverse (6123632), we get a palindrome (2369339632).

The spelling of 2363216000 in words is "two billion, three hundred sixty-three million, two hundred sixteen thousand".