2116642752 has 196 divisors, whose sum is σ = 7198183216. Its totient is φ = 604661760.

The previous prime is 2116642747. The next prime is 2116642763. The reversal of 2116642752 is 2572466112.

It is a happy number.

2116642752 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 642 + 7 + 5 + 2 = 666.

2116642752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 323352 + ... + 329832.

Almost surely, 2^2116642752 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 2116642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599091608).

2116642752 is an abundant number, since it is smaller than the sum of its proper divisors (5081540464).

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

2116642752 is an frugal number, since it uses more digits than its factorization.

2116642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 6493 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2116642752 is about 46006.9859043167. The cubic root of 2116642752 is about 1283.9531819771.

The spelling of 2116642752 in words is "two billion, one hundred sixteen million, six hundred forty-two thousand, seven hundred fifty-two".