2801105356752 has 480 divisors, whose sum is σ = 8591930081280. Its totient is φ = 849182315520.

The previous prime is 2801105356747. The next prime is 2801105356783. The reversal of 2801105356752 is 2576535011082.

2801105356752 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 1 + 0 + 535 + 67 + 52 = 666.

2801105356752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2801105356698 and 2801105356707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1962932263 + ... + 1962933689.

It is an arithmetic number, because the mean of its divisors is an integer number (17899854336).

Almost surely, 2^{2801105356752} 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 2801105356752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295965040640).

2801105356752 is an abundant number, since it is smaller than the sum of its proper divisors (5790824724528).

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

2801105356752 is a wasteful number, since it uses less digits than its factorization.

2801105356752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 2801105356752 in words is "two trillion, eight hundred one billion, one hundred five million, three hundred fifty-six thousand, seven hundred fifty-two".