2616881121120 has 384 divisors, whose sum is σ = 9515270983680. Its totient is φ = 592153804800.

The previous prime is 2616881121083. The next prime is 2616881121161. The reversal of 2616881121120 is 211211886162.

It is a super-2 number, since 2×2616881121120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586348009 + ... + 586352471.

It is an arithmetic number, because the mean of its divisors is an integer number (24779351520).

Almost surely, 2^{2616881121120} is an apocalyptic number.

2616881121120 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 2616881121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757635491840).

2616881121120 is an abundant number, since it is smaller than the sum of its proper divisors (6898389862560).

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

2616881121120 is a wasteful number, since it uses less digits than its factorization.

2616881121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 2616881121120 in words is "two trillion, six hundred sixteen billion, eight hundred eighty-one million, one hundred twenty-one thousand, one hundred twenty".