2801080585152 has 140 divisors (see below), whose sum is σ = 8325546905896. Its totient is φ = 931189685760.

The previous prime is 2801080585141. The next prime is 2801080585157. The reversal of 2801080585152 is 2515850801082.

2801080585152 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 0 + 80 + 58 + 515 + 2 = 666.

It is a super-3 number, since 3×2801080585152³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2801080585098 and 2801080585107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801080585157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1209327 + ... + 2657937.

Almost surely, 2^{2801080585152} 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 2801080585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162773452948).

2801080585152 is an abundant number, since it is smaller than the sum of its proper divisors (5524466320744).

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

2801080585152 is a wasteful number, since it uses less digits than its factorization.

2801080585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449008 (or 1448989 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 2801080585152 in words is "two trillion, eight hundred one billion, eighty million, five hundred eighty-five thousand, one hundred fifty-two".