2616082560 has 1152 divisors, whose sum is σ = 12189864960. Its totient is φ = 510935040.

The previous prime is 2616082559. The next prime is 2616082577. The reversal of 2616082560 is 652806162.

2616082560 is a `hidden beast` number, since 2 + 6 + 16 + 0 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84389745 + ... + 84389775.

It is an arithmetic number, because the mean of its divisors is an integer number (10581480).

Almost surely, 2^2616082560 is an apocalyptic number.

2616082560 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 2616082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094932480).

2616082560 is an abundant number, since it is smaller than the sum of its proper divisors (9573782400).

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

2616082560 is a wasteful number, since it uses less digits than its factorization.

2616082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

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

The square root of 2616082560 is about 51147.6544916773. The cubic root of 2616082560 is about 1377.8982499197.

The spelling of 2616082560 in words is "two billion, six hundred sixteen million, eighty-two thousand, five hundred sixty".