2771128691968 has 576 divisors, whose sum is σ = 7310458552320. Its totient is φ = 1018618675200.

The previous prime is 2771128691911. The next prime is 2771128691971. The reversal of 2771128691968 is 8691968211772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6429532713 + ... + 6429533143.

It is an arithmetic number, because the mean of its divisors is an integer number (12691768320).

Almost surely, 2^{2771128691968} is an apocalyptic number.

2771128691968 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 2771128691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655229276160).

2771128691968 is an abundant number, since it is smaller than the sum of its proper divisors (4539329860352).

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

2771128691968 is a wasteful number, since it uses less digits than its factorization.

2771128691968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 67.

The spelling of 2771128691968 in words is "two trillion, seven hundred seventy-one billion, one hundred twenty-eight million, six hundred ninety-one thousand, nine hundred sixty-eight".