2260205124606 has 192 divisors, whose sum is σ = 5902583581440. Its totient is φ = 616004766720.

The previous prime is 2260205124601. The next prime is 2260205124613. The reversal of 2260205124606 is 6064215020622.

2260205124606 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 20 + 5 + 1 + 24 + 606 = 666.

It is a super-3 number, since 3×2260205124606³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260205124601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17095005 + ... + 17226711.

It is an arithmetic number, because the mean of its divisors is an integer number (30742622820).

Almost surely, 2^{2260205124606} is an apocalyptic number.

2260205124606 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260205124606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951291790720).

2260205124606 is an abundant number, since it is smaller than the sum of its proper divisors (3642378456834).

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

2260205124606 is a wasteful number, since it uses less digits than its factorization.

2260205124606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131911 (or 131908 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2260205124606 in words is "two trillion, two hundred sixty billion, two hundred five million, one hundred twenty-four thousand, six hundred six".