2004369408 has 240 divisors, whose sum is σ = 6228351360. Its totient is φ = 635830272.

The previous prime is 2004369383. The next prime is 2004369443. The reversal of 2004369408 is 8049634002.

It is a happy number.

2004369408 is a `hidden beast` number, since 200 + 43 + 6 + 9 + 408 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10174366 + ... + 10174562.

It is an arithmetic number, because the mean of its divisors is an integer number (25951464).

Almost surely, 2^2004369408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114175680).

2004369408 is an abundant number, since it is smaller than the sum of its proper divisors (4223981952).

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

2004369408 is an equidigital number, since it uses as much as digits as its factorization.

2004369408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2004369408 is about 44770.1843641502. The cubic root of 2004369408 is about 1260.8379007219.

The spelling of 2004369408 in words is "two billion, four million, three hundred sixty-nine thousand, four hundred eight".