2006810624 has 128 divisors (see below), whose sum is σ = 4947106080. Its totient is φ = 792723456.

The previous prime is 2006810587. The next prime is 2006810627. The reversal of 2006810624 is 4260186002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006810627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2981552 + ... + 2982224.

Almost surely, 2^2006810624 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 2006810624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473553040).

2006810624 is an abundant number, since it is smaller than the sum of its proper divisors (2940295456).

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

2006810624 is an frugal number, since it uses more digits than its factorization.

2006810624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2006810624 is about 44797.4399268530. The cubic root of 2006810624 is about 1261.3495710232.

Adding to 2006810624 its reverse (4260186002), we get a palindrome (6266996626).

The spelling of 2006810624 in words is "two billion, six million, eight hundred ten thousand, six hundred twenty-four".