2106716436 has 72 divisors (see below), whose sum is σ = 5819040864. Its totient is φ = 637343040.

The previous prime is 2106716431. The next prime is 2106716453. The reversal of 2106716436 is 6346176012.

It is a happy number.

2106716436 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 7 + 1 + 643 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2106716436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106716431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254515 + ... + 262661.

It is an arithmetic number, because the mean of its divisors is an integer number (80820012).

Almost surely, 2^2106716436 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 2106716436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909520432).

2106716436 is an abundant number, since it is smaller than the sum of its proper divisors (3712324428).

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

2106716436 is a wasteful number, since it uses less digits than its factorization.

2106716436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8821 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2106716436 is about 45898.9807729976. The cubic root of 2106716436 is about 1281.9429387661.

The spelling of 2106716436 in words is "two billion, one hundred six million, seven hundred sixteen thousand, four hundred thirty-six".