2006280802260 has 768 divisors, whose sum is σ = 7749583994880. Its totient is φ = 420459724800.

The previous prime is 2006280802219. The next prime is 2006280802321. The reversal of 2006280802260 is 622080826002.

2006280802260 is a `hidden beast` number, since 2 + 0 + 0 + 628 + 0 + 8 + 0 + 2 + 26 + 0 = 666.

It is a super-2 number, since 2×2006280802260² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 703709835 + ... + 703712685.

It is an arithmetic number, because the mean of its divisors is an integer number (10090604160).

Almost surely, 2^{2006280802260} is an apocalyptic number.

2006280802260 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 2006280802260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874791997440).

2006280802260 is an abundant number, since it is smaller than the sum of its proper divisors (5743303192620).

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

2006280802260 is a wasteful number, since it uses less digits than its factorization.

2006280802260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3165 counting only the distinct ones).

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

The spelling of 2006280802260 in words is "two trillion, six billion, two hundred eighty million, eight hundred two thousand, two hundred sixty".