2153231200 has 144 divisors (see below), whose sum is σ = 5386155264. Its totient is φ = 840358400.

The previous prime is 2153231191. The next prime is 2153231209. The reversal of 2153231200 is 21323512.

It is an interprime number because it is at equal distance from previous prime (2153231191) and next prime (2153231209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153231209) 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 23 ways as a sum of consecutive naturals, for example, 9485487 + ... + 9485713.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856).

Almost surely, 2^2153231200 is an apocalyptic number.

2153231200 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 2153231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693077632).

2153231200 is an abundant number, since it is smaller than the sum of its proper divisors (3232924064).

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

2153231200 is a wasteful number, since it uses less digits than its factorization.

2153231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2153231200 is about 46402.9223217676. The cubic root of 2153231200 is about 1291.3091291142.

Adding to 2153231200 its reverse (21323512), we get a palindrome (2174554712).

The spelling of 2153231200 in words is "two billion, one hundred fifty-three million, two hundred thirty-one thousand, two hundred".