2568834048 has 176 divisors, whose sum is σ = 7864410240. Its totient is φ = 737280000.

The previous prime is 2568834043. The next prime is 2568834089. The reversal of 2568834048 is 8404388652.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2568833988 and 2568834006.

It is not an unprimeable number, because it can be changed into a prime (2568834043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640048 + ... + 644048.

Almost surely, 2^2568834048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2568834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932205120).

2568834048 is an abundant number, since it is smaller than the sum of its proper divisors (5295576192).

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

2568834048 is a wasteful number, since it uses less digits than its factorization.

2568834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 2568834048 is about 50683.6664814218. Note that the first 3 decimals coincide. The cubic root of 2568834048 is about 1369.5524934755.

The spelling of 2568834048 in words is "two billion, five hundred sixty-eight million, eight hundred thirty-four thousand, forty-eight".