2008371456 has 576 divisors, whose sum is σ = 7618723840. Its totient is φ = 507617280.

The previous prime is 2008371451. The next prime is 2008371467. The reversal of 2008371456 is 6541738002.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-5 number, since 5×2008371456⁵ (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2008371456.

It is not an unprimeable number, because it can be changed into a prime (2008371451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19498701 + ... + 19498803.

Almost surely, 2^2008371456 is an apocalyptic number.

2008371456 is a gapful number since it is divisible by the number (26) 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 2008371456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809361920).

2008371456 is an abundant number, since it is smaller than the sum of its proper divisors (5610352384).

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

2008371456 is a wasteful number, since it uses less digits than its factorization.

2008371456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2008371456 is about 44814.8575363127. The cubic root of 2008371456 is about 1261.6764984970.

The spelling of 2008371456 in words is "two billion, eight million, three hundred seventy-one thousand, four hundred fifty-six".