2076114505728 has 416 divisors, whose sum is σ = 5948259640960. Its totient is φ = 642105999360.

The previous prime is 2076114505723. The next prime is 2076114505753. The reversal of 2076114505728 is 8275054116702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076114505721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3084865200 + ... + 3084865872.

It is an arithmetic number, because the mean of its divisors is an integer number (14298701060).

Almost surely, 2^{2076114505728} 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 2076114505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974129820480).

2076114505728 is an abundant number, since it is smaller than the sum of its proper divisors (3872145135232).

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

2076114505728 is a wasteful number, since it uses less digits than its factorization.

2076114505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 2076114505728 in words is "two trillion, seventy-six billion, one hundred fourteen million, five hundred five thousand, seven hundred twenty-eight".