2116761936 has 160 divisors (see below), whose sum is σ = 5984616960. Its totient is φ = 642121728.

The previous prime is 2116761901. The next prime is 2116762001. The reversal of 2116761936 is 6391676112.

2116761936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3719860 + ... + 3720428.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856).

Almost surely, 2^2116761936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116761936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992308480).

2116761936 is an abundant number, since it is smaller than the sum of its proper divisors (3867855024).

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

2116761936 is a wasteful number, since it uses less digits than its factorization.

2116761936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 2116761936 is about 46008.2811676333. The cubic root of 2116761936 is about 1283.9772804862.

The spelling of 2116761936 in words is "two billion, one hundred sixteen million, seven hundred sixty-one thousand, nine hundred thirty-six".