2901307216896 has 1056 divisors, whose sum is σ = 9842006393856. Its totient is φ = 846028800000.

The previous prime is 2901307216891. The next prime is 2901307216901. The reversal of 2901307216896 is 6986127031092.

2901307216896 is a `hidden beast` number, since 2 + 90 + 1 + 307 + 2 + 168 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2901307216891) and next prime (2901307216901).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2901307216891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11558992771 + ... + 11558993021.

Almost surely, 2^{2901307216896} 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 2901307216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921003196928).

2901307216896 is an abundant number, since it is smaller than the sum of its proper divisors (6940699176960).

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

2901307216896 is a wasteful number, since it uses less digits than its factorization.

2901307216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2901307216896 in words is "two trillion, nine hundred one billion, three hundred seven million, two hundred sixteen thousand, eight hundred ninety-six".