2448381040 has 240 divisors, whose sum is σ = 7083832320. Its totient is φ = 782369280.

The previous prime is 2448381037. The next prime is 2448381041. The reversal of 2448381040 is 401838442.

It is a happy number.

2448381040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2448380987 and 2448381005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2448381041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287849 + ... + 5288311.

It is an arithmetic number, because the mean of its divisors is an integer number (29515968).

Almost surely, 2^2448381040 is an apocalyptic number.

2448381040 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 2448381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541916160).

2448381040 is an abundant number, since it is smaller than the sum of its proper divisors (4635451280).

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

2448381040 is a wasteful number, since it uses less digits than its factorization.

2448381040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 2448381040 is about 49481.1180148549. The cubic root of 2448381040 is about 1347.8027430194.

The spelling of 2448381040 in words is "two billion, four hundred forty-eight million, three hundred eighty-one thousand, forty".