2006148288 has 224 divisors, whose sum is σ = 5837529600. Its totient is φ = 605822976.

The previous prime is 2006148241. The next prime is 2006148299. The reversal of 2006148288 is 8828416002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12012781 + ... + 12012947.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 2^2006148288 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 2006148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918764800).

2006148288 is an abundant number, since it is smaller than the sum of its proper divisors (3831381312).

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

2006148288 is a wasteful number, since it uses less digits than its factorization.

2006148288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 2006148288 is about 44790.0467514826. The cubic root of 2006148288 is about 1261.2107887607.

The spelling of 2006148288 in words is "two billion, six million, one hundred forty-eight thousand, two hundred eighty-eight".