2667252672 has 504 divisors, whose sum is σ = 9778441200. Its totient is φ = 710664192.

The previous prime is 2667252649. The next prime is 2667252673. The reversal of 2667252672 is 2762527662.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2667252672² = 14228473632582279168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667252673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24470154 + ... + 24470262.

Almost surely, 2^2667252672 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 2667252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889220600).

2667252672 is an abundant number, since it is smaller than the sum of its proper divisors (7111188528).

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

2667252672 is a wasteful number, since it uses less digits than its factorization.

2667252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 138 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2667252672 is about 51645.4516099918. The cubic root of 2667252672 is about 1386.8241196127.

The spelling of 2667252672 in words is "two billion, six hundred sixty-seven million, two hundred fifty-two thousand, six hundred seventy-two".