2006748000 has 384 divisors, whose sum is σ = 7741319040. Its totient is φ = 503193600.

The previous prime is 2006747989. The next prime is 2006748001. The reversal of 2006748000 is 8476002.

2006748000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006748001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835454 + ... + 1836546.

It is an arithmetic number, because the mean of its divisors is an integer number (20159685).

Almost surely, 2^2006748000 is an apocalyptic number.

2006748000 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 2006748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870659520).

2006748000 is an abundant number, since it is smaller than the sum of its proper divisors (5734571040).

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

2006748000 is a wasteful number, since it uses less digits than its factorization.

2006748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2006748000 is about 44796.7409528863. The cubic root of 2006748000 is about 1261.3364504400.

The spelling of 2006748000 in words is "two billion, six million, seven hundred forty-eight thousand".