2006880084 has 144 divisors (see below), whose sum is σ = 5772997440. Its totient is φ = 597922560.

The previous prime is 2006880079. The next prime is 2006880089. The reversal of 2006880084 is 4800886002.

It is an interprime number because it is at equal distance from previous prime (2006880079) and next prime (2006880089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006880089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6330694 + ... + 6331010.

It is an arithmetic number, because the mean of its divisors is an integer number (40090260).

Almost surely, 2^2006880084 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 2006880084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886498720).

2006880084 is an abundant number, since it is smaller than the sum of its proper divisors (3766117356).

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

2006880084 is a wasteful number, since it uses less digits than its factorization.

2006880084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2006880084 is about 44798.2151876612. The cubic root of 2006880084 is about 1261.3641235225.

The spelling of 2006880084 in words is "two billion, six million, eight hundred eighty thousand, eighty-four".