2771989613568 has 352 divisors, whose sum is σ = 9465149829120. Its totient is φ = 784982016000.

The previous prime is 2771989613531. The next prime is 2771989613579. The reversal of 2771989613568 is 8653169891772.

2771989613568 is a `hidden beast` number, since 27 + 7 + 198 + 9 + 61 + 356 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2771989613496 and 2771989613505.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21806193 + ... + 21932943.

Almost surely, 2^{2771989613568} is an apocalyptic number.

2771989613568 is a gapful number since it is divisible by the number (28) 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 2771989613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732574914560).

2771989613568 is an abundant number, since it is smaller than the sum of its proper divisors (6693160215552).

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

2771989613568 is a wasteful number, since it uses less digits than its factorization.

2771989613568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126900 (or 126876 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 2771989613568 in words is "two trillion, seven hundred seventy-one billion, nine hundred eighty-nine million, six hundred thirteen thousand, five hundred sixty-eight".