2057103360 has 576 divisors, whose sum is σ = 8210114640. Its totient is φ = 471859200.

The previous prime is 2057103337. The next prime is 2057103403. The reversal of 2057103360 is 633017502.

It is a happy number.

2057103360 is a `hidden beast` number, since 2 + 0 + 571 + 0 + 33 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1380271104 + 676832256 = 37152^2 + 26016^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20367310 + ... + 20367410.

Almost surely, 2^2057103360 is an apocalyptic number.

2057103360 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 2057103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105057320).

2057103360 is an abundant number, since it is smaller than the sum of its proper divisors (6153011280).

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

2057103360 is a wasteful number, since it uses less digits than its factorization.

2057103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 2057103360 is about 45355.3013439443. The cubic root of 2057103360 is about 1271.7996599160.

The spelling of 2057103360 in words is "two billion, fifty-seven million, one hundred three thousand, three hundred sixty".