2672682272 has 162 divisors, whose sum is σ = 6180316443. Its totient is φ = 1137037824.

The previous prime is 2672682247. The next prime is 2672682347. The reversal of 2672682272 is 2722862762.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2672682272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1508234896 + 1164447376 = 38836^2 + 34124^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=36556.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72234638 + ... + 72234674.

Almost surely, 2^2672682272 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 2672682272

2672682272 is an abundant number, since it is smaller than the sum of its proper divisors (3507634171).

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

2672682272 is a wasteful number, since it uses less digits than its factorization.

2672682272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 71 counting only the distinct ones).

The product of its digits is 451584, while the sum is 44.

The square root of 2672682272 is about 51697.9909861109. The cubic root of 2672682272 is about 1387.7645125332.

The spelling of 2672682272 in words is "two billion, six hundred seventy-two million, six hundred eighty-two thousand, two hundred seventy-two".