2260605653172 has 72 divisors (see below), whose sum is σ = 5754022589952. Its totient is φ = 748311686400.

The previous prime is 2260605653171. The next prime is 2260605653213. The reversal of 2260605653172 is 2713565060622.

2260605653172 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 60 + 56 + 531 + 7 + 2 = 666.

It is a super-3 number, since 3×2260605653172³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260605653171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3756172 + ... + 4316252.

It is an arithmetic number, because the mean of its divisors is an integer number (79916980416).

Almost surely, 2^{2260605653172} is an apocalyptic number.

It is an amenable number.

2260605653172 is an abundant number, since it is smaller than the sum of its proper divisors (3493416936780).

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

2260605653172 is a wasteful number, since it uses less digits than its factorization.

2260605653172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560869 (or 560864 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2260605653172 in words is "two trillion, two hundred sixty billion, six hundred five million, six hundred fifty-three thousand, one hundred seventy-two".