2881680004 has 72 divisors (see below), whose sum is σ = 6104269080. Its totient is φ = 1185408000.

The previous prime is 2881679993. The next prime is 2881680079. The reversal of 2881680004 is 4000861882.

It can be written as a sum of positive squares in 4 ways, for example, as 14077504 + 2867602500 = 3752^2 + 53550^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027404 + ... + 1030204.

It is an arithmetic number, because the mean of its divisors is an integer number (84781515).

Almost surely, 2^2881680004 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 2881680004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052134540).

2881680004 is an abundant number, since it is smaller than the sum of its proper divisors (3222589076).

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

2881680004 is a wasteful number, since it uses less digits than its factorization.

2881680004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 2881680004 is about 53681.2816911072. The cubic root of 2881680004 is about 1423.0339159364.

The spelling of 2881680004 in words is "two billion, eight hundred eighty-one million, six hundred eighty thousand, four".