2006913580 has 96 divisors (see below), whose sum is σ = 5204304000. Its totient is φ = 647571456.

The previous prime is 2006913577. The next prime is 2006913613. The reversal of 2006913580 is 853196002.

2006913580 is digitally balanced in base 6, 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 (34).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 108016 + ... + 125224.

It is an arithmetic number, because the mean of its divisors is an integer number (54211500).

Almost surely, 2^2006913580 is an apocalyptic number.

2006913580 is a gapful number since it is divisible by the number (20) 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 2006913580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602152000).

2006913580 is an abundant number, since it is smaller than the sum of its proper divisors (3197390420).

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

2006913580 is a wasteful number, since it uses less digits than its factorization.

2006913580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17256 (or 17240 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 2006913580 is about 44798.5890402812. The cubic root of 2006913580 is about 1261.3711411179.

The spelling of 2006913580 in words is "two billion, six million, nine hundred thirteen thousand, five hundred eighty".