2185475456 has 128 divisors (see below), whose sum is σ = 4847040000. Its totient is φ = 976859136.

The previous prime is 2185475449. The next prime is 2185475497. The reversal of 2185475456 is 6545745812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2185475456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4978085 + ... + 4978523.

It is an arithmetic number, because the mean of its divisors is an integer number (37867500).

Almost surely, 2^2185475456 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 2185475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423520000).

2185475456 is an abundant number, since it is smaller than the sum of its proper divisors (2661564544).

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

2185475456 is a wasteful number, since it uses less digits than its factorization.

2185475456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 572 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 47.

The square root of 2185475456 is about 46749.0690388589. The cubic root of 2185475456 is about 1297.7229282226.

The spelling of 2185475456 in words is "two billion, one hundred eighty-five million, four hundred seventy-five thousand, four hundred fifty-six".