2291958144 has 288 divisors, whose sum is σ = 8079715800. Its totient is φ = 620089344.

The previous prime is 2291958143. The next prime is 2291958167. The reversal of 2291958144 is 4418591922.

It is a happy number.

2291958144 is a `hidden beast` number, since 2 + 29 + 1 + 9 + 581 + 44 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2291958144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291958143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1071444 + ... + 1073580.

Almost surely, 2^2291958144 is an apocalyptic number.

2291958144 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 2291958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039857900).

2291958144 is an abundant number, since it is smaller than the sum of its proper divisors (5787757656).

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

2291958144 is a wasteful number, since it uses less digits than its factorization.

2291958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2168 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2291958144 is about 47874.3996724763. The cubic root of 2291958144 is about 1318.4658761110.

The spelling of 2291958144 in words is "two billion, two hundred ninety-one million, nine hundred fifty-eight thousand, one hundred forty-four".