2675607168 has 128 divisors (see below), whose sum is σ = 7762608000. Its totient is φ = 811560960.

The previous prime is 2675607167. The next prime is 2675607191. The reversal of 2675607168 is 8617065762.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2675607161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350658 + ... + 358206.

It is an arithmetic number, because the mean of its divisors is an integer number (60645375).

Almost surely, 2^2675607168 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 2675607168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881304000).

2675607168 is an abundant number, since it is smaller than the sum of its proper divisors (5087000832).

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

2675607168 is a wasteful number, since it uses less digits than its factorization.

2675607168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2675607168 is about 51726.2715455116. The cubic root of 2675607168 is about 1388.2705693274.

The spelling of 2675607168 in words is "two billion, six hundred seventy-five million, six hundred seven thousand, one hundred sixty-eight".