2189211264 has 96 divisors (see below), whose sum is σ = 6470071140. Its totient is φ = 710000640.

The previous prime is 2189211253. The next prime is 2189211317. The reversal of 2189211264 is 4621129812.

2189211264 is a `hidden beast` number, since 2 + 189 + 211 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2179022400 + 10188864 = 46680^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 11 ways as a sum of consecutive naturals, for example, 16944 + ... + 68304.

Almost surely, 2^2189211264 is an apocalyptic number.

2189211264 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 2189211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235035570).

2189211264 is an abundant number, since it is smaller than the sum of its proper divisors (4280859876).

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

2189211264 is a wasteful number, since it uses less digits than its factorization.

2189211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51418 (or 51403 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2189211264 is about 46789.0079398997. The cubic root of 2189211264 is about 1298.4619411639.

The spelling of 2189211264 in words is "two billion, one hundred eighty-nine million, two hundred eleven thousand, two hundred sixty-four".