2006815280 has 80 divisors (see below), whose sum is σ = 4724697600. Its totient is φ = 792672000.

The previous prime is 2006815277. The next prime is 2006815313. The reversal of 2006815280 is 825186002.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790761 + ... + 2791479.

It is an arithmetic number, because the mean of its divisors is an integer number (59058720).

Almost surely, 2^2006815280 is an apocalyptic number.

2006815280 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 2006815280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362348800).

2006815280 is an abundant number, since it is smaller than the sum of its proper divisors (2717882320).

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

2006815280 is a wasteful number, since it uses less digits than its factorization.

2006815280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2006815280 is about 44797.4918940782. The cubic root of 2006815280 is about 1261.3505465079.

The spelling of 2006815280 in words is "two billion, six million, eight hundred fifteen thousand, two hundred eighty".