2805164282448 has 360 divisors, whose sum is σ = 9419745535200. Its totient is φ = 805307754240.

The previous prime is 2805164282383. The next prime is 2805164282483. The reversal of 2805164282448 is 8442824615082.

2805164282448 is a `hidden beast` number, since 2 + 8 + 0 + 516 + 4 + 2 + 82 + 4 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2805164282394 and 2805164282403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8781598 + ... + 9095426.

It is an arithmetic number, because the mean of its divisors is an integer number (26165959820).

Almost surely, 2^{2805164282448} 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 2805164282448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709872767600).

2805164282448 is an abundant number, since it is smaller than the sum of its proper divisors (6614581252752).

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

2805164282448 is a wasteful number, since it uses less digits than its factorization.

2805164282448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313893 (or 313864 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 2805164282448 in words is "two trillion, eight hundred five billion, one hundred sixty-four million, two hundred eighty-two thousand, four hundred forty-eight".