2563148448 has 432 divisors, whose sum is σ = 9108590400. Its totient is φ = 708704640.

The previous prime is 2563148437. The next prime is 2563148461. The reversal of 2563148448 is 8448413652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2563148448 is a `hidden beast` number, since 2 + 5 + 63 + 148 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82682193 + ... + 82682223.

It is an arithmetic number, because the mean of its divisors is an integer number (21084700).

Almost surely, 2^2563148448 is an apocalyptic number.

2563148448 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 2563148448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554295200).

2563148448 is an abundant number, since it is smaller than the sum of its proper divisors (6545441952).

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

2563148448 is an frugal number, since it uses more digits than its factorization.

2563148448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 43 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2563148448 is about 50627.5463359622. The cubic root of 2563148448 is about 1368.5413370036.

The spelling of 2563148448 in words is "two billion, five hundred sixty-three million, one hundred forty-eight thousand, four hundred forty-eight".