2205161280 has 672 divisors, whose sum is σ = 9476110080. Its totient is φ = 472780800.

The previous prime is 2205161279. The next prime is 2205161359. The reversal of 2205161280 is 821615022.

It is a happy number.

2205161280 is a `hidden beast` number, since 2 + 20 + 516 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2205161280² = 9725472541622476800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21833230 + ... + 21833330.

Almost surely, 2^2205161280 is an apocalyptic number.

2205161280 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 2205161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738055040).

2205161280 is an abundant number, since it is smaller than the sum of its proper divisors (7270948800).

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

2205161280 is a wasteful number, since it uses less digits than its factorization.

2205161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2205161280 is about 46959.1447963014. The cubic root of 2205161280 is about 1301.6077307951.

The spelling of 2205161280 in words is "two billion, two hundred five million, one hundred sixty-one thousand, two hundred eighty".