2006358816 has 192 divisors, whose sum is σ = 6852335616. Its totient is φ = 498432000.

The previous prime is 2006358811. The next prime is 2006358841. The reversal of 2006358816 is 6188536002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2006358811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164116 + ... + 175916.

It is an arithmetic number, because the mean of its divisors is an integer number (35689248).

Almost surely, 2^2006358816 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 2006358816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426167808).

2006358816 is an abundant number, since it is smaller than the sum of its proper divisors (4845976800).

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

2006358816 is a wasteful number, since it uses less digits than its factorization.

2006358816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11847 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2006358816 is about 44792.3968548235. The cubic root of 2006358816 is about 1261.2549049574.

The spelling of 2006358816 in words is "two billion, six million, three hundred fifty-eight thousand, eight hundred sixteen".