2419329920 has 256 divisors, whose sum is σ = 6873984000. Its totient is φ = 813754368.

The previous prime is 2419329893. The next prime is 2419329943. The reversal of 2419329920 is 299239142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22610507 + ... + 22610613.

It is an arithmetic number, because the mean of its divisors is an integer number (26851500).

Almost surely, 2^2419329920 is an apocalyptic number.

2419329920 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 2419329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436992000).

2419329920 is an abundant number, since it is smaller than the sum of its proper divisors (4454654080).

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

2419329920 is a wasteful number, since it uses less digits than its factorization.

2419329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 2419329920 is about 49186.6843769734. The cubic root of 2419329920 is about 1342.4507611633.

The spelling of 2419329920 in words is "two billion, four hundred nineteen million, three hundred twenty-nine thousand, nine hundred twenty".