2789396768340 has 1440 divisors, whose sum is σ = 11486941361280. Its totient is φ = 560891713536.

The previous prime is 2789396768309. The next prime is 2789396768359. The reversal of 2789396768340 is 438676939872.

2789396768340 is a `hidden beast` number, since 278 + 9 + 3 + 9 + 6 + 7 + 6 + 8 + 340 = 666.

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 479 ways as a sum of consecutive naturals, for example, 2483879019 + ... + 2483880141.

It is an arithmetic number, because the mean of its divisors is an integer number (7977042612).

Almost surely, 2^{2789396768340} is an apocalyptic number.

2789396768340 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 2789396768340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743470680640).

2789396768340 is an abundant number, since it is smaller than the sum of its proper divisors (8697544592940).

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

2789396768340 is a wasteful number, since it uses less digits than its factorization.

2789396768340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 2789396768340 in words is "two trillion, seven hundred eighty-nine billion, three hundred ninety-six million, seven hundred sixty-eight thousand, three hundred forty".