2130303006720 has 2304 divisors, whose sum is σ = 9495829324800. Its totient is φ = 447180963840.

The previous prime is 2130303006631. The next prime is 2130303006751. The reversal of 2130303006720 is 276003030312.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13568808882 + ... + 13568809038.

It is an arithmetic number, because the mean of its divisors is an integer number (4121453700).

Almost surely, 2^{2130303006720} is an apocalyptic number.

2130303006720 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 2130303006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747914662400).

2130303006720 is an abundant number, since it is smaller than the sum of its proper divisors (7365526318080).

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

2130303006720 is a wasteful number, since it uses less digits than its factorization.

2130303006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 2130303006720 in words is "two trillion, one hundred thirty billion, three hundred three million, six thousand, seven hundred twenty".