2057348160 has 1120 divisors, whose sum is σ = 9559503360. Its totient is φ = 408748032.

The previous prime is 2057348149. The next prime is 2057348179. The reversal of 2057348160 is 618437502.

2057348160 is a `hidden beast` number, since 2 + 0 + 573 + 4 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 70943026 + ... + 70943054.

Almost surely, 2^2057348160 is an apocalyptic number.

2057348160 is a gapful number since it is divisible by the number (20) 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 2057348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779751680).

2057348160 is an abundant number, since it is smaller than the sum of its proper divisors (7502155200).

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

2057348160 is a wasteful number, since it uses less digits than its factorization.

2057348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2057348160 is about 45357.9999559063. Note that the first 4 decimals coincide. The cubic root of 2057348160 is about 1271.8501069367.

The spelling of 2057348160 in words is "two billion, fifty-seven million, three hundred forty-eight thousand, one hundred sixty".