2616541616 has 80 divisors (see below), whose sum is σ = 5551519680. Its totient is φ = 1187450880.

The previous prime is 2616541607. The next prime is 2616541619. The reversal of 2616541616 is 6161456162.

It is a happy number.

2616541616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2616541616.

It is not an unprimeable number, because it can be changed into a prime (2616541619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5201621 + ... + 5202123.

It is an arithmetic number, because the mean of its divisors is an integer number (69393996).

Almost surely, 2^2616541616 is an apocalyptic number.

2616541616 is a gapful number since it is divisible by the number (26) 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 2616541616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775759840).

2616541616 is an abundant number, since it is smaller than the sum of its proper divisors (2934978064).

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

2616541616 is a wasteful number, since it uses less digits than its factorization.

2616541616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 2616541616 is about 51152.1418515393. The cubic root of 2616541616 is about 1377.9788405802.

Adding to 2616541616 its reverse (6161456162), we get a palindrome (8777997778).

The spelling of 2616541616 in words is "two billion, six hundred sixteen million, five hundred forty-one thousand, six hundred sixteen".