2041600320 has 168 divisors, whose sum is σ = 7060560936. Its totient is φ = 541458432.

The previous prime is 2041600307. The next prime is 2041600321. The reversal of 2041600320 is 230061402.

It is a happy number.

2041600320 is a `hidden beast` number, since 2 + 0 + 41 + 600 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 2029322304 = 3504^2 + 45048^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2041600293 and 2041600302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041600321) 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 23 ways as a sum of consecutive naturals, for example, 554004 + ... + 557676.

Almost surely, 2^2041600320 is an apocalyptic number.

2041600320 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 2041600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530280468).

2041600320 is an abundant number, since it is smaller than the sum of its proper divisors (5018960616).

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

2041600320 is a wasteful number, since it uses less digits than its factorization.

2041600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2041600320 is about 45184.0715296884. The cubic root of 2041600320 is about 1268.5966932949.

Adding to 2041600320 its reverse (230061402), we get a palindrome (2271661722).

The spelling of 2041600320 in words is "two billion, forty-one million, six hundred thousand, three hundred twenty".