2419129920 has 224 divisors, whose sum is σ = 8180880768. Its totient is φ = 603553792.

The previous prime is 2419129901. The next prime is 2419129931. The reversal of 2419129920 is 299219142.

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, 3704314 + ... + 3704966.

Almost surely, 2^2419129920 is an apocalyptic number.

2419129920 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 2419129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090440384).

2419129920 is an abundant number, since it is smaller than the sum of its proper divisors (5761750848).

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

2419129920 is a wasteful number, since it uses less digits than its factorization.

2419129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2419129920 is about 49184.6512643934. The cubic root of 2419129920 is about 1342.4137677864.

The spelling of 2419129920 in words is "two billion, four hundred nineteen million, one hundred twenty-nine thousand, nine hundred twenty".