2116762336 has 192 divisors, whose sum is σ = 4999034880. Its totient is φ = 873400320.

The previous prime is 2116762303. The next prime is 2116762337. The reversal of 2116762336 is 6332676112.

It is a junction number, because it is equal to n+sod(n) for n = 2116762295 and 2116762304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116762337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12986191 + ... + 12986353.

It is an arithmetic number, because the mean of its divisors is an integer number (26036640).

Almost surely, 2^2116762336 is an apocalyptic number.

2116762336 is a gapful number since it is divisible by the number (26) 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 2116762336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499517440).

2116762336 is an abundant number, since it is smaller than the sum of its proper divisors (2882272544).

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

2116762336 is a wasteful number, since it uses less digits than its factorization.

2116762336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 2116762336 is about 46008.2855146766. The cubic root of 2116762336 is about 1283.9773613630.

The spelling of 2116762336 in words is "two billion, one hundred sixteen million, seven hundred sixty-two thousand, three hundred thirty-six".