2036406107104 has 96 divisors (see below), whose sum is σ = 4183147100160. Its totient is φ = 974745408000.

The previous prime is 2036406107077. The next prime is 2036406107171. The reversal of 2036406107104 is 4017016046302.

It is a self number, because there is not a number n which added to its sum of digits gives 2036406107104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122526507 + ... + 122543125.

It is an arithmetic number, because the mean of its divisors is an integer number (43574448960).

Almost surely, 2^{2036406107104} 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 2036406107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091573550080).

2036406107104 is an abundant number, since it is smaller than the sum of its proper divisors (2146740993056).

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

2036406107104 is a wasteful number, since it uses less digits than its factorization.

2036406107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17984 (or 17976 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 2036406107104 in words is "two trillion, thirty-six billion, four hundred six million, one hundred seven thousand, one hundred four".