2006753000 has 128 divisors (see below), whose sum is σ = 5390910720. Its totient is φ = 684921600.

The previous prime is 2006752999. The next prime is 2006753003. The reversal of 2006753000 is 3576002.

It is a super-3 number, since 3×2006753000³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2006753003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980494 + ... + 1981506.

It is an arithmetic number, because the mean of its divisors is an integer number (42116490).

Almost surely, 2^2006753000 is an apocalyptic number.

2006753000 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 2006753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695455360).

2006753000 is an abundant number, since it is smaller than the sum of its proper divisors (3384157720).

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

2006753000 is a wasteful number, since it uses less digits than its factorization.

2006753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 2006753000 is about 44796.7967604828. The cubic root of 2006753000 is about 1261.3374980183.

The spelling of 2006753000 in words is "two billion, six million, seven hundred fifty-three thousand".