2001005700 has 36 divisors (see below), whose sum is σ = 5789577360. Its totient is φ = 533601440.

The previous prime is 2001005687. The next prime is 2001005717. The reversal of 2001005700 is 75001002.

It is a happy number.

It is a super-2 number, since 2×2001005700² = 8008047622864980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001005700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3334710 + ... + 3335309.

Almost surely, 2^2001005700 is an apocalyptic number.

2001005700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001005700 is an abundant number, since it is smaller than the sum of its proper divisors (3788571660).

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

2001005700 is a wasteful number, since it uses less digits than its factorization.

2001005700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670036 (or 6670029 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 2001005700 is about 44732.6022046561. The cubic root of 2001005700 is about 1260.1321982735.

Adding to 2001005700 its reverse (75001002), we get a palindrome (2076006702).

The spelling of 2001005700 in words is "two billion, one million, five thousand, seven hundred".