2416534560 has 720 divisors, whose sum is σ = 9927707328. Its totient is φ = 551992320.

The previous prime is 2416534553. The next prime is 2416534579. The reversal of 2416534560 is 654356142.

2416534560 is a `hidden beast` number, since 2 + 4 + 1 + 65 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 36067647 + ... + 36067713.

Almost surely, 2^2416534560 is an apocalyptic number.

2416534560 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 2416534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963853664).

2416534560 is an abundant number, since it is smaller than the sum of its proper divisors (7511172768).

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

2416534560 is a wasteful number, since it uses less digits than its factorization.

2416534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2416534560 is about 49158.2603435069. The cubic root of 2416534560 is about 1341.9335271204.

The spelling of 2416534560 in words is "two billion, four hundred sixteen million, five hundred thirty-four thousand, five hundred sixty".