2845808640 has 480 divisors, whose sum is σ = 10559989440. Its totient is φ = 732561408.

The previous prime is 2845808627. The next prime is 2845808683. The reversal of 2845808640 is 468085482.

2845808640 is a `hidden beast` number, since 2 + 8 + 4 + 580 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38983644 + ... + 38983716.

It is an arithmetic number, because the mean of its divisors is an integer number (21999978).

Almost surely, 2^2845808640 is an apocalyptic number.

2845808640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2845808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279994720).

2845808640 is an abundant number, since it is smaller than the sum of its proper divisors (7714180800).

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

2845808640 is an equidigital number, since it uses as much as digits as its factorization.

2845808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2845808640 is about 53346.1211335932. The cubic root of 2845808640 is about 1417.1045676192.

The spelling of 2845808640 in words is "two billion, eight hundred forty-five million, eight hundred eight thousand, six hundred forty".