2795068980000 has 1440 divisors, whose sum is σ = 11141385615360. Its totient is φ = 658794240000.

The previous prime is 2795068979959. The next prime is 2795068980013. The reversal of 2795068980000 is 898605972.

It is a happy number.

2795068980000 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 (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16736939917 + ... + 16736940083.

It is an arithmetic number, because the mean of its divisors is an integer number (7737073344).

Almost surely, 2^{2795068980000} is an apocalyptic number.

2795068980000 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 2795068980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570692807680).

2795068980000 is an abundant number, since it is smaller than the sum of its proper divisors (8346316635360).

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

2795068980000 is a wasteful number, since it uses less digits than its factorization.

2795068980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2795068980000 in words is "two trillion, seven hundred ninety-five billion, sixty-eight million, nine hundred eighty thousand".