2006239872 has 128 divisors (see below), whose sum is σ = 6558975360. Its totient is φ = 529108992.

The previous prime is 2006239841. The next prime is 2006239877. The reversal of 2006239872 is 2789326002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2006239872.

It is not an unprimeable number, because it can be changed into a prime (2006239877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6238 + ... + 63650.

It is an arithmetic number, because the mean of its divisors is an integer number (51241995).

Almost surely, 2^2006239872 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 2006239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279487680).

2006239872 is an abundant number, since it is smaller than the sum of its proper divisors (4552735488).

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

2006239872 is a wasteful number, since it uses less digits than its factorization.

2006239872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57450 (or 57438 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2006239872 is about 44791.0691098125. The cubic root of 2006239872 is about 1261.2299805908.

The spelling of 2006239872 in words is "two billion, six million, two hundred thirty-nine thousand, eight hundred seventy-two".