2205688162860 has 2016 divisors, whose sum is σ = 9227996209152. Its totient is φ = 438077445120.

The previous prime is 2205688162837. The next prime is 2205688162961. The reversal of 2205688162860 is 682618865022.

It is a happy number.

2205688162860 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 8 + 8 + 1 + 628 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2205688162797 and 2205688162806.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 13531829139 + ... + 13531829301.

It is an arithmetic number, because the mean of its divisors is an integer number (4577379072).

Almost surely, 2^{2205688162860} is an apocalyptic number.

2205688162860 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 2205688162860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613998104576).

2205688162860 is an abundant number, since it is smaller than the sum of its proper divisors (7022308046292).

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

2205688162860 is a wasteful number, since it uses less digits than its factorization.

2205688162860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2205688162860 in words is "two trillion, two hundred five billion, six hundred eighty-eight million, one hundred sixty-two thousand, eight hundred sixty".