2186964864 has 576 divisors, whose sum is σ = 8081227440. Its totient is φ = 563576832.

The previous prime is 2186964841. The next prime is 2186964877. The reversal of 2186964864 is 4684696812.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2186964864.

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 71 ways as a sum of consecutive naturals, for example, 41263462 + ... + 41263514.

Almost surely, 2^2186964864 is an apocalyptic number.

2186964864 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 2186964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040613720).

2186964864 is an abundant number, since it is smaller than the sum of its proper divisors (5894262576).

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

2186964864 is a wasteful number, since it uses less digits than its factorization.

2186964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2186964864 is about 46764.9961402757. The cubic root of 2186964864 is about 1298.0176619526.

The spelling of 2186964864 in words is "two billion, one hundred eighty-six million, nine hundred sixty-four thousand, eight hundred sixty-four".