2006205948 has 96 divisors (see below), whose sum is σ = 5332454400. Its totient is φ = 652084992.

The previous prime is 2006205947. The next prime is 2006205977. The reversal of 2006205948 is 8495026002.

It is a happy number.

2006205948 is a `hidden beast` number, since 2 + 0 + 0 + 62 + 0 + 594 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006205947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706740 + ... + 709572.

It is an arithmetic number, because the mean of its divisors is an integer number (55546400).

Almost surely, 2^2006205948 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 2006205948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666227200).

2006205948 is an abundant number, since it is smaller than the sum of its proper divisors (3326248452).

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

2006205948 is a wasteful number, since it uses less digits than its factorization.

2006205948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2006205948 is about 44790.6904166480. The cubic root of 2006205948 is about 1261.2228717354. Note that the first 3 decimals are identical.

The spelling of 2006205948 in words is "two billion, six million, two hundred five thousand, nine hundred forty-eight".