2768040205056 has 432 divisors, whose sum is σ = 9349480218624. Its totient is φ = 771188760576.

The previous prime is 2768040205003. The next prime is 2768040205069. The reversal of 2768040205056 is 6505020408672.

2768040205056 is a `hidden beast` number, since 2 + 7 + 6 + 80 + 40 + 20 + 505 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209963841 + ... + 209977023.

Almost surely, 2^{2768040205056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768040205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674740109312).

2768040205056 is an abundant number, since it is smaller than the sum of its proper divisors (6581440013568).

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

2768040205056 is a wasteful number, since it uses less digits than its factorization.

2768040205056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13536 (or 13519 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2768040205056 in words is "two trillion, seven hundred sixty-eight billion, forty million, two hundred five thousand, fifty-six".