2006145792 has 432 divisors, whose sum is σ = 7285404672. Its totient is φ = 537477120.

The previous prime is 2006145787. The next prime is 2006145821. The reversal of 2006145792 is 2975416002.

2006145792 is a `hidden beast` number, since 20 + 0 + 61 + 4 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7402617 + ... + 7402887.

Almost surely, 2^2006145792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642702336).

2006145792 is an abundant number, since it is smaller than the sum of its proper divisors (5279258880).

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

2006145792 is an equidigital number, since it uses as much as digits as its factorization.

2006145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2006145792 is about 44790.0188881407. The cubic root of 2006145792 is about 1261.2102657047.

The spelling of 2006145792 in words is "two billion, six million, one hundred forty-five thousand, seven hundred ninety-two".