2718325682688 has 320 divisors, whose sum is σ = 9319986339840. Its totient is φ = 683281612800.

The previous prime is 2718325682669. The next prime is 2718325682693. The reversal of 2718325682688 is 8862865238172.

It is a super-2 number, since 2×2718325682688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3295728 + ... + 4037136.

It is an arithmetic number, because the mean of its divisors is an integer number (29124957312).

Almost surely, 2^{2718325682688} is an apocalyptic number.

2718325682688 is a gapful number since it is divisible by the number (28) 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 2718325682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659993169920).

2718325682688 is an abundant number, since it is smaller than the sum of its proper divisors (6601660657152).

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

2718325682688 is a wasteful number, since it uses less digits than its factorization.

2718325682688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741479 (or 741463 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 66.

The spelling of 2718325682688 in words is "two trillion, seven hundred eighteen billion, three hundred twenty-five million, six hundred eighty-two thousand, six hundred eighty-eight".