2789242518720 has 448 divisors, whose sum is σ = 10483334701056. Its totient is φ = 614856130560.

The previous prime is 2789242518701. The next prime is 2789242518721. The reversal of 2789242518720 is 278152429872.

It is a happy number.

2789242518720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (2789242518721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61014912 + ... + 61060608.

It is an arithmetic number, because the mean of its divisors is an integer number (23400300672).

Almost surely, 2^{2789242518720} is an apocalyptic number.

2789242518720 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 2789242518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241667350528).

2789242518720 is an abundant number, since it is smaller than the sum of its proper divisors (7694092182336).

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

2789242518720 is a wasteful number, since it uses less digits than its factorization.

2789242518720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46048 (or 46038 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 2789242518720 in words is "two trillion, seven hundred eighty-nine billion, two hundred forty-two million, five hundred eighteen thousand, seven hundred twenty".