2194193664 has 144 divisors (see below), whose sum is σ = 6988027200. Its totient is φ = 675108864.

The previous prime is 2194193633. The next prime is 2194193669. The reversal of 2194193664 is 4663914912.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194193669) by changing a digit.

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, 77647 + ... + 102065.

Almost surely, 2^2194193664 is an apocalyptic number.

2194193664 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 2194193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494013600).

2194193664 is an abundant number, since it is smaller than the sum of its proper divisors (4793833536).

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

2194193664 is a wasteful number, since it uses less digits than its factorization.

2194193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24457 (or 24437 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2194193664 is about 46842.2209550316. The cubic root of 2194193664 is about 1299.4462462053.

It can be divided in two parts, 21941936 and 64, that added together give a triangular number (21942000 = T₆₆₂₄).

The spelling of 2194193664 in words is "two billion, one hundred ninety-four million, one hundred ninety-three thousand, six hundred sixty-four".