2006950176 has 384 divisors, whose sum is σ = 7396945920. Its totient is φ = 514252800.

The previous prime is 2006950151. The next prime is 2006950193. The reversal of 2006950176 is 6710596002.

2006950176 is a `hidden beast` number, since 20 + 0 + 69 + 501 + 76 = 666.

2006950176 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 2006950176.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6453061 + ... + 6453371.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2^2006950176 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 2006950176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698472960).

2006950176 is an abundant number, since it is smaller than the sum of its proper divisors (5389995744).

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

2006950176 is a wasteful number, since it uses less digits than its factorization.

2006950176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2006950176 is about 44798.9974887832. The cubic root of 2006950176 is about 1261.3788080911.

The spelling of 2006950176 in words is "two billion, six million, nine hundred fifty thousand, one hundred seventy-six".