2443921920 has 240 divisors, whose sum is σ = 9234400032. Its totient is φ = 592404480.

The previous prime is 2443921903. The next prime is 2443921939. The reversal of 2443921920 is 291293442.

2443921920 is a `hidden beast` number, since 2 + 4 + 439 + 219 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248619 + ... + 258261.

Almost surely, 2^2443921920 is an apocalyptic number.

2443921920 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 2443921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617200016).

2443921920 is an abundant number, since it is smaller than the sum of its proper divisors (6790478112).

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

2443921920 is a wasteful number, since it uses less digits than its factorization.

2443921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2443921920 is about 49436.0386762532. The cubic root of 2443921920 is about 1346.9840160933.

The spelling of 2443921920 in words is "two billion, four hundred forty-three million, nine hundred twenty-one thousand, nine hundred twenty".