2419813008 has 80 divisors (see below), whose sum is σ = 6970655040. Its totient is φ = 803713536.

The previous prime is 2419812953. The next prime is 2419813009. The reversal of 2419813008 is 8003189142.

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

It is not an unprimeable number, because it can be changed into a prime (2419813009) by changing a digit.

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, 112360 + ... + 132152.

It is an arithmetic number, because the mean of its divisors is an integer number (87133188).

Almost surely, 2^2419813008 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 2419813008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485327520).

2419813008 is an abundant number, since it is smaller than the sum of its proper divisors (4550842032).

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

2419813008 is a wasteful number, since it uses less digits than its factorization.

2419813008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20093 (or 20081 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2419813008 is about 49191.5948918105. The cubic root of 2419813008 is about 1342.5401080368.

The spelling of 2419813008 in words is "two billion, four hundred nineteen million, eight hundred thirteen thousand, eight".