2602512076216 has 128 divisors (see below), whose sum is σ = 5324825640960. Its totient is φ = 1185351552000.

The previous prime is 2602512076211. The next prime is 2602512076223. The reversal of 2602512076216 is 6126702152062.

It is a super-3 number, since 3×2602512076216³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602512076211) 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, 2261087241 + ... + 2261088391.

It is an arithmetic number, because the mean of its divisors is an integer number (41600200320).

Almost surely, 2^{2602512076216} is an apocalyptic number.

2602512076216 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 2602512076216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662412820480).

2602512076216 is an abundant number, since it is smaller than the sum of its proper divisors (2722313564744).

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

2602512076216 is a wasteful number, since it uses less digits than its factorization.

2602512076216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 2602512076216 in words is "two trillion, six hundred two billion, five hundred twelve million, seventy-six thousand, two hundred sixteen".