2130739200 has 432 divisors, whose sum is σ = 8108055735. Its totient is φ = 534773760.

The previous prime is 2130739199. The next prime is 2130739223. The reversal of 2130739200 is 29370312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1387413504 + 743325696 = 37248^2 + 27264^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32640.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125337592 + ... + 125337608.

Almost surely, 2^2130739200 is an apocalyptic number.

2130739200 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 2130739200

2130739200 is an abundant number, since it is smaller than the sum of its proper divisors (5977316535).

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

2130739200 is an equidigital number, since it uses as much as digits as its factorization.

2130739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2130739200 is about 46159.9306758578. The cubic root of 2130739200 is about 1286.7971744568.

The spelling of 2130739200 in words is "two billion, one hundred thirty million, seven hundred thirty-nine thousand, two hundred".