2805217632 has 288 divisors, whose sum is σ = 9623577600. Its totient is φ = 757785600.

The previous prime is 2805217631. The next prime is 2805217687. The reversal of 2805217632 is 2367125082.

2805217632 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 2 + 17 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805217631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4682869 + ... + 4683467.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^2805217632 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 2805217632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811788800).

2805217632 is an abundant number, since it is smaller than the sum of its proper divisors (6818359968).

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

2805217632 is a wasteful number, since it uses less digits than its factorization.

2805217632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2805217632 is about 52964.3052630732. The cubic root of 2805217632 is about 1410.3346843963.

The spelling of 2805217632 in words is "two billion, eight hundred five million, two hundred seventeen thousand, six hundred thirty-two".