2185467264 has 128 divisors (see below), whose sum is σ = 6658560000. Its totient is φ = 704954880.

The previous prime is 2185467253. The next prime is 2185467269. The reversal of 2185467264 is 4627645812.

2185467264 is a `hidden beast` number, since 2 + 185 + 467 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185467269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96937 + ... + 117335.

It is an arithmetic number, because the mean of its divisors is an integer number (52020000).

Almost surely, 2^2185467264 is an apocalyptic number.

2185467264 is a gapful number since it is divisible by the number (24) 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 2185467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329280000).

2185467264 is an abundant number, since it is smaller than the sum of its proper divisors (4473092736).

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

2185467264 is a wasteful number, since it uses less digits than its factorization.

2185467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20453 (or 20435 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2185467264 is about 46748.9814220588. The cubic root of 2185467264 is about 1297.7213067662.

The spelling of 2185467264 in words is "two billion, one hundred eighty-five million, four hundred sixty-seven thousand, two hundred sixty-four".