2006248608 has 768 divisors, whose sum is σ = 8128512000. Its totient is φ = 465813504.

The previous prime is 2006248571. The next prime is 2006248637. The reversal of 2006248608 is 8068426002.

2006248608 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 2 + 48 + 608 = 666.

2006248608 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25395513 + ... + 25395591.

It is an arithmetic number, because the mean of its divisors is an integer number (10584000).

Almost surely, 2^2006248608 is an apocalyptic number.

2006248608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256000).

2006248608 is an abundant number, since it is smaller than the sum of its proper divisors (6122263392).

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

2006248608 is a wasteful number, since it uses less digits than its factorization.

2006248608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2006248608 is about 44791.1666291469. The cubic root of 2006248608 is about 1261.2318112275.

The spelling of 2006248608 in words is "two billion, six million, two hundred forty-eight thousand, six hundred eight".