2682602556260 has 144 divisors (see below), whose sum is σ = 6216691396608. Its totient is φ = 971634174720.

The previous prime is 2682602556253. The next prime is 2682602556289. The reversal of 2682602556260 is 626552062862.

It is a junction number, because it is equal to n+sod(n) for n = 2682602556199 and 2682602556208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924077969 + ... + 924080871.

It is an arithmetic number, because the mean of its divisors is an integer number (43171468032).

Almost surely, 2^{2682602556260} is an apocalyptic number.

2682602556260 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 2682602556260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108345698304).

2682602556260 is an abundant number, since it is smaller than the sum of its proper divisors (3534088840348).

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

2682602556260 is a wasteful number, since it uses less digits than its factorization.

2682602556260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 2682602556260 in words is "two trillion, six hundred eighty-two billion, six hundred two million, five hundred fifty-six thousand, two hundred sixty".