2761888712160 has 192 divisors, whose sum is σ = 9180213719040. Its totient is φ = 696565985280.

The previous prime is 2761888712119. The next prime is 2761888712203. The reversal of 2761888712160 is 612178881672.

It is a self number, because there is not a number n which added to its sum of digits gives 2761888712160.

It is a congruent number.

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, 422896 + ... + 2388015.

It is an arithmetic number, because the mean of its divisors is an integer number (47813613120).

Almost surely, 2^{2761888712160} is an apocalyptic number.

2761888712160 is a gapful number since it is divisible by the number (20) 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 2761888712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590106859520).

2761888712160 is an abundant number, since it is smaller than the sum of its proper divisors (6418325006880).

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

2761888712160 is a wasteful number, since it uses less digits than its factorization.

2761888712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811041 (or 2811033 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 57.

The spelling of 2761888712160 in words is "two trillion, seven hundred sixty-one billion, eight hundred eighty-eight million, seven hundred twelve thousand, one hundred sixty".