57002000 has 80 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 20720000.

The previous prime is 57001949. The next prime is 57002039. The reversal of 57002000 is 20075.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20705 + ... + 23295.

Almost surely, 2^57002000 is an apocalyptic number.

57002000 is a gapful number since it is divisible by the number (50) 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 57002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472).

57002000 is an abundant number, since it is smaller than the sum of its proper divisors (93416944).

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

57002000 is a wasteful number, since it uses less digits than its factorization.

57002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 57002000 is about 7549.9668873446. The cubic root of 57002000 is about 384.8546142460.

Adding to 57002000 its reverse (20075), we get a palindrome (57022075).

The spelling of 57002000 in words is "fifty-seven million, two thousand".