2810066784096 has 384 divisors, whose sum is σ = 9254067056640. Its totient is φ = 734443315200.

The previous prime is 2810066784047. The next prime is 2810066784103. The reversal of 2810066784096 is 6904876600182.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12227626 + ... + 12455318.

It is an arithmetic number, because the mean of its divisors is an integer number (24099132960).

Almost surely, 2^{2810066784096} is an apocalyptic number.

2810066784096 is a gapful number since it is divisible by the number (26) 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 2810066784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627033528320).

2810066784096 is an abundant number, since it is smaller than the sum of its proper divisors (6444000272544).

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

2810066784096 is a wasteful number, since it uses less digits than its factorization.

2810066784096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227790 (or 227782 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 2810066784096 in words is "two trillion, eight hundred ten billion, sixty-six million, seven hundred eighty-four thousand, ninety-six".