2627472 has 80 divisors (see below), whose sum is σ = 7420160. Its totient is φ = 798336.

The previous prime is 2627431. The next prime is 2627473. The reversal of 2627472 is 2747262.

It is a super-2 number, since 2×2627472² = 13807218221568, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 6³ + 2¹⁹ + 7³ + 4⁵ + 7⁴ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2627473) 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, 39183 + ... + 39249.

It is an arithmetic number, because the mean of its divisors is an integer number (92752).

2^2627472 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 2627472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710080).

2627472 is an abundant number, since it is smaller than the sum of its proper divisors (4792688).

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

2627472 is a wasteful number, since it uses less digits than its factorization.

2627472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 2627472 is about 1620.9478708459. The cubic root of 2627472 is about 137.9894972053.

The spelling of 2627472 in words is "two million, six hundred twenty-seven thousand, four hundred seventy-two".