2046424320 has 216 divisors, whose sum is σ = 7114653000. Its totient is φ = 543080448.

The previous prime is 2046424319. The next prime is 2046424339. The reversal of 2046424320 is 234246402.

2046424320 is a `hidden beast` number, since 204 + 6 + 424 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 676832256 + 1369592064 = 26016^2 + 37008^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4020226 + ... + 4020734.

Almost surely, 2^2046424320 is an apocalyptic number.

2046424320 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 2046424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557326500).

2046424320 is an abundant number, since it is smaller than the sum of its proper divisors (5068228680).

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

2046424320 is a wasteful number, since it uses less digits than its factorization.

2046424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2046424320 is about 45237.4216771911. The cubic root of 2046424320 is about 1269.5950762325.

The spelling of 2046424320 in words is "two billion, forty-six million, four hundred twenty-four thousand, three hundred twenty".