2419320008 has 64 divisors (see below), whose sum is σ = 5584128000. Its totient is φ = 959418432.

The previous prime is 2419319953. The next prime is 2419320049. The reversal of 2419320008 is 8000239142.

It is a super-3 number, since 3×2419320008³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19313 + ... + 72191.

It is an arithmetic number, because the mean of its divisors is an integer number (87252000).

Almost surely, 2^2419320008 is an apocalyptic number.

2419320008 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 2419320008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792064000).

2419320008 is an abundant number, since it is smaller than the sum of its proper divisors (3164807992).

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

2419320008 is a wasteful number, since it uses less digits than its factorization.

2419320008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52954 (or 52950 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2419320008 is about 49186.5836178932. The cubic root of 2419320008 is about 1342.4489278196.

The spelling of 2419320008 in words is "two billion, four hundred nineteen million, three hundred twenty thousand, eight".