2130504499200 has 2160 divisors, whose sum is σ = 9337997329920. Its totient is φ = 418696396800.

The previous prime is 2130504499199. The next prime is 2130504499229. The reversal of 2130504499200 is 29944050312.

It is a super-2 number, since 2×2130504499200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23938252756 + ... + 23938252844.

It is an arithmetic number, because the mean of its divisors is an integer number (4323146912).

Almost surely, 2^{2130504499200} is an apocalyptic number.

2130504499200 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 2130504499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668998664960).

2130504499200 is an abundant number, since it is smaller than the sum of its proper divisors (7207492830720).

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

2130504499200 is a wasteful number, since it uses less digits than its factorization.

2130504499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 2130504499200 in words is "two trillion, one hundred thirty billion, five hundred four million, four hundred ninety-nine thousand, two hundred".