2416347648 has 480 divisors, whose sum is σ = 8668820160. Its totient is φ = 637009920.

The previous prime is 2416347631. The next prime is 2416347707. The reversal of 2416347648 is 8467436142.

2416347648 is a `hidden beast` number, since 2 + 4 + 1 + 634 + 7 + 6 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12519840 + ... + 12520032.

It is an arithmetic number, because the mean of its divisors is an integer number (18060042).

Almost surely, 2^2416347648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334410080).

2416347648 is an abundant number, since it is smaller than the sum of its proper divisors (6252472512).

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

2416347648 is a wasteful number, since it uses less digits than its factorization.

2416347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2416347648 is about 49156.3591816969. The cubic root of 2416347648 is about 1341.8989279951.

The spelling of 2416347648 in words is "two billion, four hundred sixteen million, three hundred forty-seven thousand, six hundred forty-eight".