2448895680 has 672 divisors, whose sum is σ = 10917204480. Its totient is φ = 507617280.

The previous prime is 2448895663. The next prime is 2448895703. The reversal of 2448895680 is 865988442.

2448895680 is digitally balanced in base 2, because in such base 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 (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5987316 + ... + 5987724.

It is an arithmetic number, because the mean of its divisors is an integer number (16245840).

Almost surely, 2^2448895680 is an apocalyptic number.

2448895680 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 2448895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458602240).

2448895680 is an abundant number, since it is smaller than the sum of its proper divisors (8468308800).

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

2448895680 is a wasteful number, since it uses less digits than its factorization.

2448895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2448895680 is about 49486.3181091501. The cubic root of 2448895680 is about 1347.8971706702.

The spelling of 2448895680 in words is "two billion, four hundred forty-eight million, eight hundred ninety-five thousand, six hundred eighty".