2193426144 has 288 divisors, whose sum is σ = 7749181440. Its totient is φ = 573060096.

The previous prime is 2193426113. The next prime is 2193426149. The reversal of 2193426144 is 4416243912.

2193426144 is a `hidden beast` number, since 2 + 1 + 9 + 34 + 2 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2193426144² = 9622236498365417472, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 2193426099 and 2193426108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193426149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3328087 + ... + 3328745.

It is an arithmetic number, because the mean of its divisors is an integer number (26906880).

Almost surely, 2^2193426144 is an apocalyptic number.

2193426144 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 2193426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874590720).

2193426144 is an abundant number, since it is smaller than the sum of its proper divisors (5555755296).

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

2193426144 is a wasteful number, since it uses less digits than its factorization.

2193426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 811 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2193426144 is about 46834.0276294918. The cubic root of 2193426144 is about 1299.2947148689.

The spelling of 2193426144 in words is "two billion, one hundred ninety-three million, four hundred twenty-six thousand, one hundred forty-four".