2419208064 has 384 divisors, whose sum is σ = 8768148480. Its totient is φ = 623185920.

The previous prime is 2419208059. The next prime is 2419208081. The reversal of 2419208064 is 4608029142.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4926859 + ... + 4927349.

It is an arithmetic number, because the mean of its divisors is an integer number (22833720).

Almost surely, 2^2419208064 is an apocalyptic number.

2419208064 is a gapful number since it is divisible by the number (24) 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 2419208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384074240).

2419208064 is an abundant number, since it is smaller than the sum of its proper divisors (6348940416).

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

2419208064 is a wasteful number, since it uses less digits than its factorization.

2419208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2419208064 is about 49185.4456521439. The cubic root of 2419208064 is about 1342.4282220813.

The spelling of 2419208064 in words is "two billion, four hundred nineteen million, two hundred eight thousand, sixty-four".