2116131360 has 192 divisors, whose sum is σ = 7804387584. Its totient is φ = 471859200.

The previous prime is 2116131313. The next prime is 2116131379. The reversal of 2116131360 is 631316112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2116131360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130080 + ... + 145440.

It is an arithmetic number, because the mean of its divisors is an integer number (40647852).

Almost surely, 2^2116131360 is an apocalyptic number.

2116131360 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 2116131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902193792).

2116131360 is an abundant number, since it is smaller than the sum of its proper divisors (5688256224).

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

2116131360 is a wasteful number, since it uses less digits than its factorization.

2116131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15427 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2116131360 is about 46001.4278039280. The cubic root of 2116131360 is about 1283.8497703721.

Adding to 2116131360 its reverse (631316112), we get a palindrome (2747447472).

The spelling of 2116131360 in words is "two billion, one hundred sixteen million, one hundred thirty-one thousand, three hundred sixty".