2129765708616 has 192 divisors, whose sum is σ = 6735033002880. Its totient is φ = 546514698240.

The previous prime is 2129765708599. The next prime is 2129765708669. The reversal of 2129765708616 is 6168075679212.

It is a happy number.

It is a super-2 number, since 2×2129765708616² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2129765708616.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2633736 + ... + 3346056.

It is an arithmetic number, because the mean of its divisors is an integer number (35078296890).

Almost surely, 2^{2129765708616} is an apocalyptic number.

2129765708616 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 2129765708616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367516501440).

2129765708616 is an abundant number, since it is smaller than the sum of its proper divisors (4605267294264).

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

2129765708616 is a wasteful number, since it uses less digits than its factorization.

2129765708616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712424 (or 712383 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 2129765708616 in words is "two trillion, one hundred twenty-nine billion, seven hundred sixty-five million, seven hundred eight thousand, six hundred sixteen".