2006552500 has 120 divisors (see below), whose sum is σ = 4799063808. Its totient is φ = 730560000.

The previous prime is 2006552491. The next prime is 2006552501. The reversal of 2006552500 is 52556002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006552501) 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 39 ways as a sum of consecutive naturals, for example, 1316739 + ... + 1318261.

Almost surely, 2^2006552500 is an apocalyptic number.

2006552500 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 2006552500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399531904).

2006552500 is an abundant number, since it is smaller than the sum of its proper divisors (2792511308).

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

2006552500 is a wasteful number, since it uses less digits than its factorization.

2006552500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2006552500 is about 44794.5588213569. The cubic root of 2006552500 is about 1261.2954887640.

The spelling of 2006552500 in words is "two billion, six million, five hundred fifty-two thousand, five hundred".