2004780680 has 32 divisors (see below), whose sum is σ = 5155151040. Its totient is φ = 687353280.

The previous prime is 2004780619. The next prime is 2004780707. The reversal of 2004780680 is 860874002.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2004780680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3579686 + ... + 3580245.

It is an arithmetic number, because the mean of its divisors is an integer number (161098470).

Almost surely, 2^2004780680 is an apocalyptic number.

2004780680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004780680 is an abundant number, since it is smaller than the sum of its proper divisors (3150370360).

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

2004780680 is a wasteful number, since it uses less digits than its factorization.

2004780680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159949 (or 7159945 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2004780680 is about 44774.7772747113. Note that the first 3 decimals coincide. The cubic root of 2004780680 is about 1260.9241309781.

The spelling of 2004780680 in words is "two billion, four million, seven hundred eighty thousand, six hundred eighty".