2419530000 has 100 divisors (see below), whose sum is σ = 7810662288. Its totient is φ = 645200000.

The previous prime is 2419529969. The next prime is 2419530013. The reversal of 2419530000 is 359142.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10326 + ... + 70325.

Almost surely, 2^2419530000 is an apocalyptic number.

2419530000 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 2419530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905331144).

2419530000 is an abundant number, since it is smaller than the sum of its proper divisors (5391132288).

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

2419530000 is an equidigital number, since it uses as much as digits as its factorization.

2419530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80682 (or 80661 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2419530000 is about 49188.7182187135. The cubic root of 2419530000 is about 1342.4877672977.

Adding to 2419530000 its reverse (359142), we get a palindrome (2419889142).

The spelling of 2419530000 in words is "two billion, four hundred nineteen million, five hundred thirty thousand".