2688741000000 has 1176 divisors, whose sum is σ = 10873442068160. Its totient is φ = 651024000000.

The previous prime is 2688740999999. The next prime is 2688741000017. The reversal of 2688741000000 is 1478862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 3266999589 + ... + 3267000411.

Almost surely, 2^{2688741000000} is an apocalyptic number.

2688741000000 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 2688741000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436721034080).

2688741000000 is an abundant number, since it is smaller than the sum of its proper divisors (8184701068160).

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

2688741000000 is an frugal number, since it uses more digits than its factorization.

2688741000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 2688741000000 its reverse (1478862), we get a palindrome (2688742478862).

The spelling of 2688741000000 in words is "two trillion, six hundred eighty-eight billion, seven hundred forty-one million", and thus it is an aban number.