2130249600 has 576 divisors, whose sum is σ = 8508942000. Its totient is φ = 504299520.

The previous prime is 2130249593. The next prime is 2130249601. The reversal of 2130249600 is 69420312.

2130249600 is a `hidden beast` number, since 2 + 1 + 30 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130249601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9302286 + ... + 9302514.

Almost surely, 2^2130249600 is an apocalyptic number.

2130249600 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 2130249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254471000).

2130249600 is an abundant number, since it is smaller than the sum of its proper divisors (6378692400).

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

2130249600 is a wasteful number, since it uses less digits than its factorization.

2130249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2130249600 is about 46154.6270703166. The cubic root of 2130249600 is about 1286.6986070743.

Adding to 2130249600 its reverse (69420312), we get a palindrome (2199669912).

The spelling of 2130249600 in words is "two billion, one hundred thirty million, two hundred forty-nine thousand, six hundred".