2441615616 has 288 divisors, whose sum is σ = 8344425600. Its totient is φ = 695992320.

The previous prime is 2441615581. The next prime is 2441615639. The reversal of 2441615616 is 6165161442.

2441615616 is a `hidden beast` number, since 24 + 4 + 1 + 6 + 15 + 616 = 666.

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

It is a super-2 number, since 2×2441615616² = 11922973632590118912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1291600 + ... + 1293488.

It is an arithmetic number, because the mean of its divisors is an integer number (28973700).

Almost surely, 2^2441615616 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 2441615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172212800).

2441615616 is an abundant number, since it is smaller than the sum of its proper divisors (5902809984).

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

2441615616 is a wasteful number, since it uses less digits than its factorization.

2441615616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1922 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2441615616 is about 49412.7070296700. The cubic root of 2441615616 is about 1346.5601710816.

The spelling of 2441615616 in words is "two billion, four hundred forty-one million, six hundred fifteen thousand, six hundred sixteen".