2006730000 has 300 divisors, whose sum is σ = 7659585648. Its totient is φ = 486240000.

The previous prime is 2006729999. The next prime is 2006730029. The reversal of 2006730000 is 376002.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 988987 + ... + 991013.

Almost surely, 2^2006730000 is an apocalyptic number.

2006730000 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 2006730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829792824).

2006730000 is an abundant number, since it is smaller than the sum of its proper divisors (5652855648).

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

2006730000 is a wasteful number, since it uses less digits than its factorization.

2006730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2006730000 is about 44796.5400449633. The cubic root of 2006730000 is about 1261.3326791437.

The spelling of 2006730000 in words is "two billion, six million, seven hundred thirty thousand".