2057434848 has 144 divisors (see below), whose sum is σ = 6701831136. Its totient is φ = 586506240.

The previous prime is 2057434811. The next prime is 2057434853. The reversal of 2057434848 is 8484347502.

It is a happy number.

2057434848 is a `hidden beast` number, since 2 + 0 + 574 + 34 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194628 + ... + 1196348.

It is an arithmetic number, because the mean of its divisors is an integer number (46540494).

Almost surely, 2^2057434848 is an apocalyptic number.

2057434848 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 2057434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350915568).

2057434848 is an abundant number, since it is smaller than the sum of its proper divisors (4644396288).

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

2057434848 is a wasteful number, since it uses less digits than its factorization.

2057434848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 2057434848 is about 45358.9555435308. The cubic root of 2057434848 is about 1271.8679701576.

The spelling of 2057434848 in words is "two billion, fifty-seven million, four hundred thirty-four thousand, eight hundred forty-eight".