2004389760 has 128 divisors (see below), whose sum is σ = 6764925600. Its totient is φ = 503054336.

The previous prime is 2004389753. The next prime is 2004389767. The reversal of 2004389760 is 679834002.

It is an interprime number because it is at equal distance from previous prime (2004389753) and next prime (2004389767).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004389767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1936 + ... + 63344.

Almost surely, 2^2004389760 is an apocalyptic number.

2004389760 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 2004389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382462800).

2004389760 is an abundant number, since it is smaller than the sum of its proper divisors (4760535840).

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

2004389760 is a wasteful number, since it uses less digits than its factorization.

2004389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61448 (or 61436 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2004389760 is about 44770.4116577009. The cubic root of 2004389760 is about 1260.8421681465.

The spelling of 2004389760 in words is "two billion, four million, three hundred eighty-nine thousand, seven hundred sixty".