2444688960 has 448 divisors, whose sum is σ = 9585838080. Its totient is φ = 515358720.

The previous prime is 2444688959. The next prime is 2444688977. The reversal of 2444688960 is 698864442.

2444688960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2444688960² = 11953008222291763200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5234647 + ... + 5235113.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 2^2444688960 is an apocalyptic number.

2444688960 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 2444688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792919040).

2444688960 is an abundant number, since it is smaller than the sum of its proper divisors (7141149120).

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

2444688960 is a wasteful number, since it uses less digits than its factorization.

2444688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The square root of 2444688960 is about 49443.7959707788. The cubic root of 2444688960 is about 1347.1249211060.

The spelling of 2444688960 in words is "two billion, four hundred forty-four million, six hundred eighty-eight thousand, nine hundred sixty".