2257648848 has 320 divisors, whose sum is σ = 8085593600. Its totient is φ = 594584064.

The previous prime is 2257648829. The next prime is 2257648871. The reversal of 2257648848 is 8488467522.

2257648848 is a `hidden beast` number, since 22 + 576 + 4 + 8 + 8 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2257648794 and 2257648803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3183918 + ... + 3184626.

It is an arithmetic number, because the mean of its divisors is an integer number (25267480).

Almost surely, 2^2257648848 is an apocalyptic number.

2257648848 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 2257648848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042796800).

2257648848 is an abundant number, since it is smaller than the sum of its proper divisors (5827944752).

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

2257648848 is an equidigital number, since it uses as much as digits as its factorization.

2257648848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 734 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 2257648848 is about 47514.7224342098. The cubic root of 2257648848 is about 1311.8538808370.

The spelling of 2257648848 in words is "two billion, two hundred fifty-seven million, six hundred forty-eight thousand, eight hundred forty-eight".