2001075700 has 72 divisors (see below), whose sum is σ = 4694086712. Its totient is φ = 736058880.

The previous prime is 2001075691. The next prime is 2001075749. The reversal of 2001075700 is 75701002.

It can be written as a sum of positive squares in 12 ways, for example, as 707666404 + 1293409296 = 26602^2 + 35964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357322 + ... + 362878.

Almost surely, 2^2001075700 is an apocalyptic number.

2001075700 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 2001075700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347043356).

2001075700 is an abundant number, since it is smaller than the sum of its proper divisors (2693011012).

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

2001075700 is a wasteful number, since it uses less digits than its factorization.

2001075700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 2001075700 is about 44733.3846249085. The cubic root of 2001075700 is about 1260.1468922555.

Adding to 2001075700 its reverse (75701002), we get a palindrome (2076776702).

The spelling of 2001075700 in words is "two billion, one million, seventy-five thousand, seven hundred".