2689232378700 has 576 divisors, whose sum is σ = 9506719531008. Its totient is φ = 573684249600.

The previous prime is 2689232378671. The next prime is 2689232378713. The reversal of 2689232378700 is 78732329862.

2689232378700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374176507 + ... + 374183693.

It is an arithmetic number, because the mean of its divisors is an integer number (16504721408).

Almost surely, 2^{2689232378700} is an apocalyptic number.

2689232378700 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 2689232378700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753359765504).

2689232378700 is an abundant number, since it is smaller than the sum of its proper divisors (6817487152308).

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

2689232378700 is a wasteful number, since it uses less digits than its factorization.

2689232378700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 2689232378700 in words is "two trillion, six hundred eighty-nine billion, two hundred thirty-two million, three hundred seventy-eight thousand, seven hundred".