2689248097920 has 512 divisors, whose sum is σ = 8959133018880. Its totient is φ = 685606699008.

The previous prime is 2689248097819. The next prime is 2689248097937. The reversal of 2689248097920 is 297908429862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825680932 + ... + 825684188.

Almost surely, 2^{2689248097920} is an apocalyptic number.

2689248097920 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 2689248097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479566509440).

2689248097920 is an abundant number, since it is smaller than the sum of its proper divisors (6269884920960).

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

2689248097920 is a wasteful number, since it uses less digits than its factorization.

2689248097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 2689248097920 in words is "two trillion, six hundred eighty-nine billion, two hundred forty-eight million, ninety-seven thousand, nine hundred twenty".