2419470000 has 500 divisors, whose sum is σ = 9140136720. Its totient is φ = 616896000.

The previous prime is 2419469953. The next prime is 2419470019. The reversal of 2419470000 is 749142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 99 ways as a sum of consecutive naturals, for example, 23489949 + ... + 23490051.

Almost surely, 2^2419470000 is an apocalyptic number.

2419470000 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 2419470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570068360).

2419470000 is an abundant number, since it is smaller than the sum of its proper divisors (6720666720).

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

2419470000 is a wasteful number, since it uses less digits than its factorization.

2419470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2419470000 is about 49188.1083189830. The cubic root of 2419470000 is about 1342.4766701105.

The spelling of 2419470000 in words is "two billion, four hundred nineteen million, four hundred seventy thousand".