2151235200 has 192 divisors, whose sum is σ = 7117535520. Its totient is φ = 571084800.

The previous prime is 2151235193. The next prime is 2151235201. The reversal of 2151235200 is 25321512.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2151235201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3177262 + ... + 3177938.

Almost surely, 2^2151235200 is an apocalyptic number.

2151235200 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 2151235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558767760).

2151235200 is an abundant number, since it is smaller than the sum of its proper divisors (4966300320).

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

2151235200 is a wasteful number, since it uses less digits than its factorization.

2151235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2151235200 is about 46381.4100691214. The cubic root of 2151235200 is about 1290.9100002999.

Adding to 2151235200 its reverse (25321512), we get a palindrome (2176556712).

The spelling of 2151235200 in words is "two billion, one hundred fifty-one million, two hundred thirty-five thousand, two hundred".