2057643000 has 640 divisors, whose sum is σ = 8698060800. Its totient is φ = 443232000.

The previous prime is 2057642971. The next prime is 2057643017. The reversal of 2057643000 is 3467502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 10772905 + ... + 10773095.

It is an arithmetic number, because the mean of its divisors is an integer number (13590720).

Almost surely, 2^2057643000 is an apocalyptic number.

2057643000 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 2057643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349030400).

2057643000 is an abundant number, since it is smaller than the sum of its proper divisors (6640417800).

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

2057643000 is a wasteful number, since it uses less digits than its factorization.

2057643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2057643000 is about 45361.2499827772. The cubic root of 2057643000 is about 1271.9108606100.

The spelling of 2057643000 in words is "two billion, fifty-seven million, six hundred forty-three thousand".