2416106880 has 640 divisors, whose sum is σ = 9952588800. Its totient is φ = 552407040.

The previous prime is 2416106873. The next prime is 2416106897. The reversal of 2416106880 is 886016142.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10834449 + ... + 10834671.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^2416106880 is an apocalyptic number.

2416106880 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 2416106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976294400).

2416106880 is an abundant number, since it is smaller than the sum of its proper divisors (7536481920).

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

2416106880 is a wasteful number, since it uses less digits than its factorization.

2416106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2416106880 is about 49153.9101191350. The cubic root of 2416106880 is about 1341.8543570007.

The spelling of 2416106880 in words is "two billion, four hundred sixteen million, one hundred six thousand, eight hundred eighty".