2616506112 has 144 divisors (see below), whose sum is σ = 7997109120. Its totient is φ = 751104000.

The previous prime is 2616506107. The next prime is 2616506117. The reversal of 2616506112 is 2116056162.

2616506112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2616506107) and next prime (2616506117).

It is a super-2 number, since 2×2616506112² = 13692208468266713088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2616506112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2616506117) 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, 152362 + ... + 168662.

It is an arithmetic number, because the mean of its divisors is an integer number (55535480).

Almost surely, 2^2616506112 is an apocalyptic number.

2616506112 is a gapful number since it is divisible by the number (22) 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 2616506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998554560).

2616506112 is an abundant number, since it is smaller than the sum of its proper divisors (5380603008).

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

2616506112 is a wasteful number, since it uses less digits than its factorization.

2616506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350 (or 16336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2616506112 is about 51151.7948072206. The cubic root of 2616506112 is about 1377.9726079280.

It can be divided in two parts, 261650 and 6112, that added together give a palindrome (267762).

The spelling of 2616506112 in words is "two billion, six hundred sixteen million, five hundred six thousand, one hundred twelve".