2004267920 has 80 divisors (see below), whose sum is σ = 4738863360. Its totient is φ = 788216832.

The previous prime is 2004267917. The next prime is 2004267929. The reversal of 2004267920 is 297624002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2004267920² = 8034179790282252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2004267929) 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, 1939724 + ... + 1940756.

It is an arithmetic number, because the mean of its divisors is an integer number (59235792).

Almost surely, 2^2004267920 is an apocalyptic number.

2004267920 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 2004267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369431680).

2004267920 is an abundant number, since it is smaller than the sum of its proper divisors (2734595440).

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

2004267920 is a wasteful number, since it uses less digits than its factorization.

2004267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2004267920 is about 44769.0509169002. The cubic root of 2004267920 is about 1260.8166202008.

The spelling of 2004267920 in words is "two billion, four million, two hundred sixty-seven thousand, nine hundred twenty".