2006768448 has 168 divisors, whose sum is σ = 6264554400. Its totient is φ = 611767296.

The previous prime is 2006768443. The next prime is 2006768453. The reversal of 2006768448 is 8448676002.

It is an interprime number because it is at equal distance from previous prime (2006768443) and next prime (2006768453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006768441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314215 + ... + 320537.

Almost surely, 2^2006768448 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 2006768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132277200).

2006768448 is an abundant number, since it is smaller than the sum of its proper divisors (4257785952).

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

2006768448 is a wasteful number, since it uses less digits than its factorization.

2006768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2006768448 is about 44796.9691831936. The cubic root of 2006768448 is about 1261.3407346053.

The spelling of 2006768448 in words is "two billion, six million, seven hundred sixty-eight thousand, four hundred forty-eight".