2448770688 has 576 divisors, whose sum is σ = 9142398720. Its totient is φ = 623185920.

The previous prime is 2448770671. The next prime is 2448770689. The reversal of 2448770688 is 8860778442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (2448770689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34489693 + ... + 34489763.

It is an arithmetic number, because the mean of its divisors is an integer number (15872220).

Almost surely, 2^2448770688 is an apocalyptic number.

2448770688 is a gapful number since it is divisible by the number (28) 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 2448770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

2448770688 is an abundant number, since it is smaller than the sum of its proper divisors (6693628032).

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

2448770688 is a wasteful number, since it uses less digits than its factorization.

2448770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 2448770688 is about 49485.0551985142. The cubic root of 2448770688 is about 1347.8742379893.

The spelling of 2448770688 in words is "two billion, four hundred forty-eight million, seven hundred seventy thousand, six hundred eighty-eight".