2918987276688 has 180 divisors, whose sum is σ = 9510553114140. Its totient is φ = 833319664128.

The previous prime is 2918987276687. The next prime is 2918987276713. The reversal of 2918987276688 is 8866727898192.

It can be written as a sum of positive squares in 2 ways, for example, as 855018307584 + 2063968969104 = 924672^2 + 1436652^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2918987276687) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8561058 + ... + 8895486.

Almost surely, 2^{2918987276688} is an apocalyptic number.

2918987276688 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 2918987276688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755276557070).

2918987276688 is an abundant number, since it is smaller than the sum of its proper divisors (6591565837452).

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

2918987276688 is a wasteful number, since it uses less digits than its factorization.

2918987276688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335694 (or 335678 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 81.

The spelling of 2918987276688 in words is "two trillion, nine hundred eighteen billion, nine hundred eighty-seven million, two hundred seventy-six thousand, six hundred eighty-eight".