2102057000 has 32 divisors (see below), whose sum is σ = 4918815720. Its totient is φ = 840822400.

The previous prime is 2102056993. The next prime is 2102057017. The reversal of 2102057000 is 7502012.

It can be written as a sum of positive squares in 4 ways, for example, as 615337636 + 1486719364 = 24806^2 + 38558^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2102057000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050029 + ... + 1052028.

Almost surely, 2^2102057000 is an apocalyptic number.

2102057000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102057000 is an abundant number, since it is smaller than the sum of its proper divisors (2816758720).

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

2102057000 is a wasteful number, since it uses less digits than its factorization.

2102057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102078 (or 2102064 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2102057000 is about 45848.1951662222. The cubic root of 2102057000 is about 1280.9971478032.

Adding to 2102057000 its reverse (7502012), we get a palindrome (2109559012).

The spelling of 2102057000 in words is "two billion, one hundred two million, fifty-seven thousand".