2606005200 has 120 divisors (see below), whose sum is σ = 8472760288. Its totient is φ = 684541440.

The previous prime is 2606005187. The next prime is 2606005231. The reversal of 2606005200 is 25006062.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64194 + ... + 96606.

Almost surely, 2^2606005200 is an apocalyptic number.

2606005200 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 2606005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236380144).

2606005200 is an abundant number, since it is smaller than the sum of its proper divisors (5866755088).

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

2606005200 is a wasteful number, since it uses less digits than its factorization.

2606005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32501 (or 32490 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2606005200 is about 51049.0470038374. The cubic root of 2606005200 is about 1376.1267150522.

The spelling of 2606005200 in words is "two billion, six hundred six million, five thousand, two hundred".