2009646000 has 240 divisors, whose sum is σ = 7097545728. Its totient is φ = 529920000.

The previous prime is 2009645987. The next prime is 2009646061. The reversal of 2009646000 is 6469002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2009646000³ (a number of 29 digits) contains 333 as substring.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745425 + ... + 1746575.

Almost surely, 2^2009646000 is an apocalyptic number.

2009646000 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 2009646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548772864).

2009646000 is an abundant number, since it is smaller than the sum of its proper divisors (5087899728).

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

2009646000 is a wasteful number, since it uses less digits than its factorization.

2009646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2009646000 is about 44829.0753864052. The cubic root of 2009646000 is about 1261.9433352848.

The spelling of 2009646000 in words is "two billion, nine million, six hundred forty-six thousand".