2416254816 has 96 divisors (see below), whose sum is σ = 6459264000. Its totient is φ = 790732800.

The previous prime is 2416254781. The next prime is 2416254817. The reversal of 2416254816 is 6184526142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416254817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1508416 + ... + 1510016.

It is an arithmetic number, because the mean of its divisors is an integer number (67284000).

Almost surely, 2^2416254816 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 2416254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229632000).

2416254816 is an abundant number, since it is smaller than the sum of its proper divisors (4043009184).

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

2416254816 is a wasteful number, since it uses less digits than its factorization.

2416254816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1884 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 2416254816 is about 49155.4149204337. The cubic root of 2416254816 is about 1341.8817432774.

The spelling of 2416254816 in words is "two billion, four hundred sixteen million, two hundred fifty-four thousand, eight hundred sixteen".