2606204160 has 864 divisors, whose sum is σ = 11464387200. Its totient is φ = 564350976.

The previous prime is 2606204149. The next prime is 2606204197. The reversal of 2606204160 is 614026062.

It is a happy number.

2606204160 is a `hidden beast` number, since 26 + 0 + 620 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137168631 + ... + 137168649.

Almost surely, 2^2606204160 is an apocalyptic number.

2606204160 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 2606204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732193600).

2606204160 is an abundant number, since it is smaller than the sum of its proper divisors (8858183040).

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

2606204160 is an frugal number, since it uses more digits than its factorization.

2606204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2606204160 is about 51050.9956807896. The cubic root of 2606204160 is about 1376.1617350902.

The spelling of 2606204160 in words is "two billion, six hundred six million, two hundred four thousand, one hundred sixty".