2209628160 has 420 divisors, whose sum is σ = 8165667468. Its totient is φ = 573308928.

The previous prime is 2209628153. The next prime is 2209628219. The reversal of 2209628160 is 618269022.

It is a happy number.

2209628160 is a `hidden beast` number, since 2 + 20 + 9 + 628 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1445216256 + 764411904 = 38016^2 + 27648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719662 + ... + 59719698.

Almost surely, 2^2209628160 is an apocalyptic number.

2209628160 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 2209628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082833734).

2209628160 is an abundant number, since it is smaller than the sum of its proper divisors (5956039308).

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

2209628160 is an frugal number, since it uses more digits than its factorization.

2209628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2209628160 is about 47006.6820781897. The cubic root of 2209628160 is about 1302.4860042975.

The spelling of 2209628160 in words is "two billion, two hundred nine million, six hundred twenty-eight thousand, one hundred sixty".