2768870142080 has 768 divisors, whose sum is σ = 8463249100800. Its totient is φ = 859815936000.

The previous prime is 2768870142047. The next prime is 2768870142083. The reversal of 2768870142080 is 802410788672.

It is not an unprimeable number, because it can be changed into a prime (2768870142083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3949885730 + ... + 3949886430.

It is an arithmetic number, because the mean of its divisors is an integer number (11019855600).

Almost surely, 2^{2768870142080} is an apocalyptic number.

2768870142080 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 2768870142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231624550400).

2768870142080 is an abundant number, since it is smaller than the sum of its proper divisors (5694378958720).

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

2768870142080 is a wasteful number, since it uses less digits than its factorization.

2768870142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 2768870142080 in words is "two trillion, seven hundred sixty-eight billion, eight hundred seventy million, one hundred forty-two thousand, eighty".