2443505640 has 256 divisors, whose sum is σ = 7998393600. Its totient is φ = 595206144.

The previous prime is 2443505639. The next prime is 2443505657. The reversal of 2443505640 is 465053442.

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 63 ways as a sum of consecutive naturals, for example, 8821182 + ... + 8821458.

It is an arithmetic number, because the mean of its divisors is an integer number (31243725).

Almost surely, 2^2443505640 is an apocalyptic number.

2443505640 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 2443505640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999196800).

2443505640 is an abundant number, since it is smaller than the sum of its proper divisors (5554887960).

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

2443505640 is a wasteful number, since it uses less digits than its factorization.

2443505640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 2443505640 is about 49431.8282081495. The cubic root of 2443505640 is about 1346.9075332427.

The spelling of 2443505640 in words is "two billion, four hundred forty-three million, five hundred five thousand, six hundred forty".