2001709120 has 112 divisors (see below), whose sum is σ = 4850361648. Its totient is φ = 786759680.

The previous prime is 2001709117. The next prime is 2001709133. The reversal of 2001709120 is 219071002.

It can be written as a sum of positive squares in 8 ways, for example, as 399424 + 2001309696 = 632^2 + 44736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001709091 and 2001709100.

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, 7123380 + ... + 7123660.

Almost surely, 2^2001709120 is an apocalyptic number.

2001709120 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 2001709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425180824).

2001709120 is an abundant number, since it is smaller than the sum of its proper divisors (2848652528).

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

2001709120 is a wasteful number, since it uses less digits than its factorization.

2001709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 2001709120 is about 44740.4640118987. The cubic root of 2001709120 is about 1260.2798404224.

The spelling of 2001709120 in words is "two billion, one million, seven hundred nine thousand, one hundred twenty".