2151331200 has 144 divisors (see below), whose sum is σ = 7676545500. Its totient is φ = 573680640.

The previous prime is 2151331187. The next prime is 2151331253. The reversal of 2151331200 is 21331512.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8550 + ... + 66149.

Almost surely, 2^2151331200 is an apocalyptic number.

2151331200 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 2151331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838272750).

2151331200 is an abundant number, since it is smaller than the sum of its proper divisors (5525214300).

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

2151331200 is a wasteful number, since it uses less digits than its factorization.

2151331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74729 (or 74709 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2151331200 is about 46382.4449549611. Note that the first 3 decimals coincide. The cubic root of 2151331200 is about 1290.9292025264.

Adding to 2151331200 its reverse (21331512), we get a palindrome (2172662712).

The spelling of 2151331200 in words is "two billion, one hundred fifty-one million, three hundred thirty-one thousand, two hundred".