2616561792 has 256 divisors, whose sum is σ = 8430912000. Its totient is φ = 803976192.

The previous prime is 2616561791. The next prime is 2616561841. The reversal of 2616561792 is 2971656162.

2616561792 is a `hidden beast` number, since 2 + 6 + 16 + 561 + 79 + 2 = 666.

It is a super-2 number, since 2×2616561792² = 13692791222708502528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2616561791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3638809 + ... + 3639527.

It is an arithmetic number, because the mean of its divisors is an integer number (32933250).

Almost surely, 2^2616561792 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 2616561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215456000).

2616561792 is an abundant number, since it is smaller than the sum of its proper divisors (5814350208).

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

2616561792 is an frugal number, since it uses more digits than its factorization.

2616561792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 737 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2616561792 is about 51152.3390667524. The cubic root of 2616561792 is about 1377.9823824093.

The spelling of 2616561792 in words is "two billion, six hundred sixteen million, five hundred sixty-one thousand, seven hundred ninety-two".