2438272 has 32 divisors (see below), whose sum is σ = 4981680. Its totient is φ = 1188096.

The previous prime is 2438239. The next prime is 2438281. The reversal of 2438272 is 2728342.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2438272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5283 + ... + 5725.

2^2438272 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 2438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490840).

2438272 is an abundant number, since it is smaller than the sum of its proper divisors (2543408).

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

2438272 is an equidigital number, since it uses as much as digits as its factorization.

2438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 2438272 is about 1561.4967178960. The cubic root of 2438272 is about 134.5945218029.

It can be divided in two parts, 243 and 8272, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 2438272 in words is "two million, four hundred thirty-eight thousand, two hundred seventy-two".