2116610635152 has 160 divisors (see below), whose sum is σ = 6055618665600. Its totient is φ = 633031888896.

The previous prime is 2116610635147. The next prime is 2116610635207. The reversal of 2116610635152 is 2515360166112.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2116610635152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953638 + ... + 3599610.

It is an arithmetic number, because the mean of its divisors is an integer number (37847616660).

Almost surely, 2^{2116610635152} 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 2116610635152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027809332800).

2116610635152 is an abundant number, since it is smaller than the sum of its proper divisors (3939008030448).

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

2116610635152 is a wasteful number, since it uses less digits than its factorization.

2116610635152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646145 (or 646139 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 2116610635152 in words is "two trillion, one hundred sixteen billion, six hundred ten million, six hundred thirty-five thousand, one hundred fifty-two".