2208765672 has 160 divisors (see below), whose sum is σ = 6396916680. Its totient is φ = 711659520.

The previous prime is 2208765641. The next prime is 2208765677. The reversal of 2208765672 is 2765678022.

2208765672 is a `hidden beast` number, since 2 + 2 + 0 + 87 + 6 + 567 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1839895236 + 368870436 = 42894^2 + 19206^2 .

It is a super-3 number, since 3×2208765672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2208765677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2506672 + ... + 2507552.

Almost surely, 2^2208765672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198458340).

2208765672 is an abundant number, since it is smaller than the sum of its proper divisors (4188151008).

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

2208765672 is a wasteful number, since it uses less digits than its factorization.

2208765672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2208765672 is about 46997.5070828230. The cubic root of 2208765672 is about 1302.3165150346.

The spelling of 2208765672 in words is "two billion, two hundred eight million, seven hundred sixty-five thousand, six hundred seventy-two".