2419008480 has 216 divisors, whose sum is σ = 9602879832. Its totient is φ = 552900096.

The previous prime is 2419008443. The next prime is 2419008481. The reversal of 2419008480 is 848009142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419008481) 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 35 ways as a sum of consecutive naturals, for example, 53419 + ... + 87701.

It is an arithmetic number, because the mean of its divisors is an integer number (44457777).

Almost surely, 2^2419008480 is an apocalyptic number.

2419008480 is a gapful number since it is divisible by the number (20) 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 2419008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801439916).

2419008480 is an abundant number, since it is smaller than the sum of its proper divisors (7183871352).

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

2419008480 is a wasteful number, since it uses less digits than its factorization.

2419008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34318 (or 34300 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2419008480 is about 49183.4167174262. The cubic root of 2419008480 is about 1342.3913044130.

The spelling of 2419008480 in words is "two billion, four hundred nineteen million, eight thousand, four hundred eighty".