2606150380050 has 360 divisors, whose sum is σ = 8432297498196. Its totient is φ = 595068042240.

The previous prime is 2606150380019. The next prime is 2606150380079. The reversal of 2606150380050 is 500830516062.

2606150380050 is a `hidden beast` number, since 2 + 6 + 0 + 615 + 0 + 38 + 0 + 0 + 5 + 0 = 666.

2606150380050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2298162008961 + 307988371089 = 1515969^2 + 554967^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2606150379987 and 2606150380014.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 204992494 + ... + 205005206.

Almost surely, 2^{2606150380050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606150380050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216148749098).

2606150380050 is an abundant number, since it is smaller than the sum of its proper divisors (5826147118146).

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

2606150380050 is a wasteful number, since it uses less digits than its factorization.

2606150380050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2606150380050 in words is "two trillion, six hundred six billion, one hundred fifty million, three hundred eighty thousand, fifty".