2684977913088 has 216 divisors, whose sum is σ = 8135592392928. Its totient is φ = 850551238656.

The previous prime is 2684977913083. The next prime is 2684977913129. The reversal of 2684977913088 is 8803197794862.

2684977913088 is a `hidden beast` number, since 2 + 68 + 497 + 79 + 1 + 3 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684977913083) 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 23 ways as a sum of consecutive naturals, for example, 3299431 + ... + 4031897.

Almost surely, 2^{2684977913088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2684977913088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067796196464).

2684977913088 is an abundant number, since it is smaller than the sum of its proper divisors (5450614479840).

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

2684977913088 is a wasteful number, since it uses less digits than its factorization.

2684977913088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732569 (or 732552 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 2684977913088 in words is "two trillion, six hundred eighty-four billion, nine hundred seventy-seven million, nine hundred thirteen thousand, eighty-eight".