2627872 has 24 divisors (see below), whose sum is σ = 5572476. Its totient is φ = 1212672.

The previous prime is 2627869. The next prime is 2627879. The reversal of 2627872 is 2787262.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 80656 = 1596^2 + 284^2 .

It is a super-2 number, since 2×2627872² = 13811422496768, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 6⁷ + 2¹⁷ + 7 + 8 + 7⁶ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2627879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2743 + ... + 3574.

2^2627872 is an apocalyptic number.

It is an amenable number.

2627872 is an abundant number, since it is smaller than the sum of its proper divisors (2944604).

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

2627872 is a wasteful number, since it uses less digits than its factorization.

2627872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6332 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 2627872 is about 1621.0712507475. The cubic root of 2627872 is about 137.9964992461.

The spelling of 2627872 in words is "two million, six hundred twenty-seven thousand, eight hundred seventy-two".