2166038245756 has 192 divisors, whose sum is σ = 5023402352640. Its totient is φ = 792612864000.

The previous prime is 2166038245741. The next prime is 2166038245759. The reversal of 2166038245756 is 6575428306612.

It is a junction number, because it is equal to n+sod(n) for n = 2166038245697 and 2166038245706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166038245759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75538990 + ... + 75567658.

It is an arithmetic number, because the mean of its divisors is an integer number (26163553920).

Almost surely, 2^{2166038245756} 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 2166038245756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511701176320).

2166038245756 is an abundant number, since it is smaller than the sum of its proper divisors (2857364106884).

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

2166038245756 is a wasteful number, since it uses less digits than its factorization.

2166038245756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28956 (or 28954 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 2166038245756 in words is "two trillion, one hundred sixty-six billion, thirty-eight million, two hundred forty-five thousand, seven hundred fifty-six".