2419338240 has 704 divisors, whose sum is σ = 9857041920. Its totient is φ = 557383680.

The previous prime is 2419338217. The next prime is 2419338241. The reversal of 2419338240 is 428339142.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a junction number, because it is equal to n+sod(n) for n = 2419338195 and 2419338204.

It is not an unprimeable number, because it can be changed into a prime (2419338241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56263659 + ... + 56263701.

It is an arithmetic number, because the mean of its divisors is an integer number (14001480).

Almost surely, 2^2419338240 is an apocalyptic number.

2419338240 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 2419338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928520960).

2419338240 is an abundant number, since it is smaller than the sum of its proper divisors (7437703680).

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

2419338240 is a wasteful number, since it uses less digits than its factorization.

2419338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2419338240 is about 49186.7689526360. The cubic root of 2419338240 is about 1342.4523000436.

The spelling of 2419338240 in words is "two billion, four hundred nineteen million, three hundred thirty-eight thousand, two hundred forty".