2130916085760 has 832 divisors, whose sum is σ = 8560368230400. Its totient is φ = 439670538240.

The previous prime is 2130916085723. The next prime is 2130916085773. The reversal of 2130916085760 is 675806190312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704899609 + ... + 704902631.

Almost surely, 2^{2130916085760} is an apocalyptic number.

2130916085760 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 2130916085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280184115200).

2130916085760 is an abundant number, since it is smaller than the sum of its proper divisors (6429452144640).

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

2130916085760 is a wasteful number, since it uses less digits than its factorization.

2130916085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 2130916085760 in words is "two trillion, one hundred thirty billion, nine hundred sixteen million, eighty-five thousand, seven hundred sixty".