2768540571076 has 48 divisors (see below), whose sum is σ = 5731943414400. Its totient is φ = 1144817307648.

The previous prime is 2768540571073. The next prime is 2768540571127. The reversal of 2768540571076 is 6701750458672.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 2768540571076.

It is not an unprimeable number, because it can be changed into a prime (2768540571073) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16260 + ... + 2353156.

It is an arithmetic number, because the mean of its divisors is an integer number (119415487800).

Almost surely, 2^{2768540571076} 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 2768540571076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865971707200).

2768540571076 is an abundant number, since it is smaller than the sum of its proper divisors (2963402843324).

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

2768540571076 is a wasteful number, since it uses less digits than its factorization.

2768540571076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338396 (or 2338394 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 58.

The spelling of 2768540571076 in words is "two trillion, seven hundred sixty-eight billion, five hundred forty million, five hundred seventy-one thousand, seventy-six".