2905627687872 has 448 divisors, whose sum is σ = 9607811770368. Its totient is φ = 754532352000.

The previous prime is 2905627687847. The next prime is 2905627687909. The reversal of 2905627687872 is 2787867265092.

2905627687872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 2905627687797 and 2905627687806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1688335972 + ... + 1688337692.

It is an arithmetic number, because the mean of its divisors is an integer number (21446008416).

Almost surely, 2^{2905627687872} 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 2905627687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803905885184).

2905627687872 is an abundant number, since it is smaller than the sum of its proper divisors (6702184082496).

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

2905627687872 is a wasteful number, since it uses less digits than its factorization.

2905627687872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 2905627687872 in words is "two trillion, nine hundred five billion, six hundred twenty-seven million, six hundred eighty-seven thousand, eight hundred seventy-two".