2057127360 has 224 divisors, whose sum is σ = 6871606272. Its totient is φ = 520396800.

The previous prime is 2057127329. The next prime is 2057127377. The reversal of 2057127360 is 637217502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3333772 + ... + 3334388.

Almost surely, 2^2057127360 is an apocalyptic number.

2057127360 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 2057127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435803136).

2057127360 is an abundant number, since it is smaller than the sum of its proper divisors (4814478912).

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

2057127360 is a wasteful number, since it uses less digits than its factorization.

2057127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 2057127360 is about 45355.5659208437. The cubic root of 2057127360 is about 1271.8046058793.

The spelling of 2057127360 in words is "two billion, fifty-seven million, one hundred twenty-seven thousand, three hundred sixty".