2004367680 has 280 divisors, whose sum is σ = 8149181568. Its totient is φ = 458099712.

The previous prime is 2004367679. The next prime is 2004367691. The reversal of 2004367680 is 867634002.

It is a tau number, because it is divible by the number of its divisors (280).

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 39 ways as a sum of consecutive naturals, for example, 175917 + ... + 186963.

Almost surely, 2^2004367680 is an apocalyptic number.

2004367680 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 2004367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074590784).

2004367680 is an abundant number, since it is smaller than the sum of its proper divisors (6144813888).

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

2004367680 is a wasteful number, since it uses less digits than its factorization.

2004367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2004367680 is about 44770.1650655880. The cubic root of 2004367680 is about 1260.8375383921.

The spelling of 2004367680 in words is "two billion, four million, three hundred sixty-seven thousand, six hundred eighty".