2845440864 has 72 divisors (see below), whose sum is σ = 9247689360. Its totient is φ = 812982528.

The previous prime is 2845440809. The next prime is 2845440869. The reversal of 2845440864 is 4680445482.

2845440864 is a `hidden beast` number, since 28 + 4 + 544 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2845440869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703699 + ... + 707730.

It is an arithmetic number, because the mean of its divisors is an integer number (128440130).

Almost surely, 2^2845440864 is an apocalyptic number.

2845440864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2845440864 is an abundant number, since it is smaller than the sum of its proper divisors (6402248496).

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

2845440864 is a wasteful number, since it uses less digits than its factorization.

2845440864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411452 (or 1411441 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 2845440864 is about 53342.6739487251. The cubic root of 2845440864 is about 1417.0435188315.

The spelling of 2845440864 in words is "two billion, eight hundred forty-five million, four hundred forty thousand, eight hundred sixty-four".