2448176640 has 640 divisors, whose sum is σ = 10031357952. Its totient is φ = 495452160.

The previous prime is 2448176617. The next prime is 2448176641. The reversal of 2448176640 is 466718442.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2448176592 and 2448176601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2448176641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21665224 + ... + 21665336.

Almost surely, 2^2448176640 is an apocalyptic number.

2448176640 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 2448176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015678976).

2448176640 is an abundant number, since it is smaller than the sum of its proper divisors (7583181312).

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

2448176640 is a wasteful number, since it uses less digits than its factorization.

2448176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2448176640 is about 49479.0525374122. The cubic root of 2448176640 is about 1347.7652354388.

The spelling of 2448176640 in words is "two billion, four hundred forty-eight million, one hundred seventy-six thousand, six hundred forty".