2004376920 has 384 divisors, whose sum is σ = 7687249920. Its totient is φ = 407116800.

The previous prime is 2004376879. The next prime is 2004376939. The reversal of 2004376920 is 296734002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10494025 + ... + 10494215.

It is an arithmetic number, because the mean of its divisors is an integer number (20018880).

Almost surely, 2^2004376920 is an apocalyptic number.

2004376920 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 2004376920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843624960).

2004376920 is an abundant number, since it is smaller than the sum of its proper divisors (5682873000).

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

2004376920 is a wasteful number, since it uses less digits than its factorization.

2004376920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2004376920 is about 44770.2682591918. The cubic root of 2004376920 is about 1260.8394758478.

The spelling of 2004376920 in words is "two billion, four million, three hundred seventy-six thousand, nine hundred twenty".