2041744320 has 1008 divisors, whose sum is σ = 9443825664. Its totient is φ = 410572800.

The previous prime is 2041744297. The next prime is 2041744321. The reversal of 2041744320 is 234471402.

2041744320 is a `hidden beast` number, since 204 + 17 + 443 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041744321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65862705 + ... + 65862735.

Almost surely, 2^2041744320 is an apocalyptic number.

2041744320 is a gapful number since it is divisible by the number (20) 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 2041744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721912832).

2041744320 is an abundant number, since it is smaller than the sum of its proper divisors (7402081344).

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

2041744320 is a wasteful number, since it uses less digits than its factorization.

2041744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2041744320 is about 45185.6649834878. The cubic root of 2041744320 is about 1268.6265185301.

The spelling of 2041744320 in words is "two billion, forty-one million, seven hundred forty-four thousand, three hundred twenty".