2616220676160 has 896 divisors, whose sum is σ = 11725855948800. Its totient is φ = 534182584320.

The previous prime is 2616220676143. The next prime is 2616220676161. The reversal of 2616220676160 is 616760226162.

2616220676160 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 2 + 20 + 6 + 7 + 616 + 0 = 666.

It is a super-2 number, since 2×2616220676160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2616220676161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24319771 + ... + 24427109.

It is an arithmetic number, because the mean of its divisors is an integer number (13086892800).

Almost surely, 2^{2616220676160} is an apocalyptic number.

2616220676160 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 2616220676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862927974400).

2616220676160 is an abundant number, since it is smaller than the sum of its proper divisors (9109635272640).

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

2616220676160 is a wasteful number, since it uses less digits than its factorization.

2616220676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107416 (or 107400 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2616220676160 in words is "two trillion, six hundred sixteen billion, two hundred twenty million, six hundred seventy-six thousand, one hundred sixty".