2008365408 has 192 divisors, whose sum is σ = 6745536000. Its totient is φ = 569452032.

The previous prime is 2008365311. The next prime is 2008365419. The reversal of 2008365408 is 8045638002.

It is a super-2 number, since 2×2008365408² = 8067063224102012928, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839478 + ... + 841866.

It is an arithmetic number, because the mean of its divisors is an integer number (35133000).

Almost surely, 2^2008365408 is an apocalyptic number.

2008365408 is a gapful number since it is divisible by the number (28) 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 2008365408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372768000).

2008365408 is an abundant number, since it is smaller than the sum of its proper divisors (4737170592).

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

2008365408 is a wasteful number, since it uses less digits than its factorization.

2008365408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2008365408 is about 44814.7900586402. The cubic root of 2008365408 is about 1261.6752320269.

It can be divided in two parts, 20083 and 65408, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 2008365408 in words is "two billion, eight million, three hundred sixty-five thousand, four hundred eight".