3000206480256 has 480 divisors, whose sum is σ = 9498824062200. Its totient is φ = 937424793600.

The previous prime is 3000206480197. The next prime is 3000206480281. The reversal of 3000206480256 is 6520846020003.

3000206480256 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 2 + 0 + 648 + 0 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×3000206480256² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3000206480256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2009514646 + ... + 2009516138.

Almost surely, 2^{3000206480256} is an apocalyptic number.

3000206480256 is a gapful number since it is divisible by the number (36) 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 3000206480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749412031100).

3000206480256 is an abundant number, since it is smaller than the sum of its proper divisors (6498617581944).

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

3000206480256 is a wasteful number, since it uses less digits than its factorization.

3000206480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3000206480256 in words is "three trillion, two hundred six million, four hundred eighty thousand, two hundred fifty-six".