2416064112 has 600 divisors, whose sum is σ = 9195411456. Its totient is φ = 598752000.

The previous prime is 2416064083. The next prime is 2416064117. The reversal of 2416064112 is 2114606142.

2416064112 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 0 + 641 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416064117) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34029037 + ... + 34029107.

Almost surely, 2^2416064112 is an apocalyptic number.

2416064112 is a gapful number since it is divisible by the number (22) 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 2416064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597705728).

2416064112 is an abundant number, since it is smaller than the sum of its proper divisors (6779347344).

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

2416064112 is a wasteful number, since it uses less digits than its factorization.

2416064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2416064112 is about 49153.4750755224. The cubic root of 2416064112 is about 1341.8464394749.

The spelling of 2416064112 in words is "two billion, four hundred sixteen million, sixty-four thousand, one hundred twelve".