2057311872 has 384 divisors, whose sum is σ = 7663219200. Its totient is φ = 533744640.

The previous prime is 2057311859. The next prime is 2057311877. The reversal of 2057311872 is 2781137502.

2057311872 is a `hidden beast` number, since 2 + 0 + 573 + 1 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2057311877) 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 47 ways as a sum of consecutive naturals, for example, 2394579 + ... + 2395437.

It is an arithmetic number, because the mean of its divisors is an integer number (19956300).

Almost surely, 2^2057311872 is an apocalyptic number.

2057311872 is a gapful number since it is divisible by the number (22) 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 2057311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831609600).

2057311872 is an abundant number, since it is smaller than the sum of its proper divisors (5605907328).

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

2057311872 is an equidigital number, since it uses as much as digits as its factorization.

2057311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2057311872 is about 45357.5999365046. The cubic root of 2057311872 is about 1271.8426291604.

The spelling of 2057311872 in words is "two billion, fifty-seven million, three hundred eleven thousand, eight hundred seventy-two".