2004136420 has 96 divisors (see below), whose sum is σ = 4978713600. Its totient is φ = 668060160.

The previous prime is 2004136417. The next prime is 2004136423. The reversal of 2004136420 is 246314002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2004136417) and next prime (2004136423).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2004136391 and 2004136400.

It is not an unprimeable number, because it can be changed into a prime (2004136423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423789 + ... + 428491.

It is an arithmetic number, because the mean of its divisors is an integer number (51861600).

Almost surely, 2^2004136420 is an apocalyptic number.

2004136420 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 2004136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489356800).

2004136420 is an abundant number, since it is smaller than the sum of its proper divisors (2974577180).

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

2004136420 is a wasteful number, since it uses less digits than its factorization.

2004136420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2004136420 is about 44767.5822442982. The cubic root of 2004136420 is about 1260.7890455421.

The spelling of 2004136420 in words is "two billion, four million, one hundred thirty-six thousand, four hundred twenty".