2416158720 has 288 divisors, whose sum is σ = 8693062560. Its totient is φ = 643645440.

The previous prime is 2416158697. The next prime is 2416158721. The reversal of 2416158720 is 278516142.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2416158721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2487835 + ... + 2488805.

It is an arithmetic number, because the mean of its divisors is an integer number (30184245).

Almost surely, 2^2416158720 is an apocalyptic number.

2416158720 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 2416158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346531280).

2416158720 is an abundant number, since it is smaller than the sum of its proper divisors (6276903840).

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

2416158720 is an frugal number, since it uses more digits than its factorization.

2416158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2416158720 is about 49154.4374395639. The cubic root of 2416158720 is about 1341.8639538764.

The spelling of 2416158720 in words is "two billion, four hundred sixteen million, one hundred fifty-eight thousand, seven hundred twenty".