2001026000 has 80 divisors (see below), whose sum is σ = 4855730880. Its totient is φ = 797558400.

The previous prime is 2001025969. The next prime is 2001026003. The reversal of 2001026000 is 6201002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001026003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 612371 + ... + 615629.

It is an arithmetic number, because the mean of its divisors is an integer number (60696636).

Almost surely, 2^2001026000 is an apocalyptic number.

2001026000 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 2001026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427865440).

2001026000 is an abundant number, since it is smaller than the sum of its proper divisors (2854704880).

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

2001026000 is a wasteful number, since it uses less digits than its factorization.

2001026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2001026000 is about 44732.8291079382. The cubic root of 2001026000 is about 1260.1364595635.

Adding to 2001026000 its reverse (6201002), we get a palindrome (2007227002).

The spelling of 2001026000 in words is "two billion, one million, twenty-six thousand".