2776140416772 has 48 divisors (see below), whose sum is σ = 7201211774400. Its totient is φ = 924890192640.

The previous prime is 2776140416771. The next prime is 2776140416789.

It is a happy number.

2776140416772 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 1 + 404 + 167 + 72 = 666.

2776140416772 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2776140416772² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2776140416771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6599854 + ... + 7007877.

It is an arithmetic number, because the mean of its divisors is an integer number (150025245300).

Almost surely, 2^{2776140416772} is an apocalyptic number.

It is an amenable number.

2776140416772 is an abundant number, since it is smaller than the sum of its proper divisors (4425071357628).

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

2776140416772 is a wasteful number, since it uses less digits than its factorization.

2776140416772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13609633 (or 13609625 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 2776140416772 in words is "two trillion, seven hundred seventy-six billion, one hundred forty million, four hundred sixteen thousand, seven hundred seventy-two".