2444375040 has 176 divisors, whose sum is σ = 7863231168. Its totient is φ = 648085504.

The previous prime is 2444374973. The next prime is 2444375041. The reversal of 2444375040 is 405734442.

It is a junction number, because it is equal to n+sod(n) for n = 2444374992 and 2444375010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444375041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3578539 + ... + 3579221.

Almost surely, 2^2444375040 is an apocalyptic number.

2444375040 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 2444375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931615584).

2444375040 is an abundant number, since it is smaller than the sum of its proper divisors (5418856128).

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

2444375040 is a wasteful number, since it uses less digits than its factorization.

2444375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 2444375040 is about 49440.6213553187. The cubic root of 2444375040 is about 1347.0672576617.

The spelling of 2444375040 in words is "two billion, four hundred forty-four million, three hundred seventy-five thousand, forty".