2448660240 has 640 divisors, whose sum is σ = 9799372800. Its totient is φ = 557383680.

The previous prime is 2448660233. The next prime is 2448660251. The reversal of 2448660240 is 420668442.

It is a happy number.

2448660240 is a `hidden beast` number, since 2 + 4 + 4 + 8 + 6 + 602 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2448660195 and 2448660204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25243872 + ... + 25243968.

It is an arithmetic number, because the mean of its divisors is an integer number (15311520).

Almost surely, 2^2448660240 is an apocalyptic number.

2448660240 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 2448660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899686400).

2448660240 is an abundant number, since it is smaller than the sum of its proper divisors (7350712560).

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

2448660240 is a wasteful number, since it uses less digits than its factorization.

2448660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2448660240 is about 49483.9392126375. The cubic root of 2448660240 is about 1347.8539730930.

The spelling of 2448660240 in words is "two billion, four hundred forty-eight million, six hundred sixty thousand, two hundred forty".