2688990720000 has 1040 divisors, whose sum is σ = 10076619049728. Its totient is φ = 632586240000.

The previous prime is 2688990719981. The next prime is 2688990720007. The reversal of 2688990720000 is 270998862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-2 number, since 2×2688990720000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2688990720007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2296319415 + ... + 2296320585.

Almost surely, 2^{2688990720000} is an apocalyptic number.

2688990720000 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 2688990720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038309524864).

2688990720000 is an abundant number, since it is smaller than the sum of its proper divisors (7387628329728).

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

2688990720000 is a wasteful number, since it uses less digits than its factorization.

2688990720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 2688990720000 in words is "two trillion, six hundred eighty-eight billion, nine hundred ninety million, seven hundred twenty thousand".