2617472 has 72 divisors (see below), whose sum is σ = 6206445. Its totient is φ = 1098240.

The previous prime is 2617471. The next prime is 2617499. The reversal of 2617472 is 2747162.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 379456 = 1496^2 + 616^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1144.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2617471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 201338 + ... + 201350.

2^2617472 is an apocalyptic number.

2617472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2617472

2617472 is an abundant number, since it is smaller than the sum of its proper divisors (3588973).

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

2617472 is a wasteful number, since it uses less digits than its factorization.

2617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 26 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 2617472 is about 1617.8603153548. The cubic root of 2617472 is about 137.8142147434.

The spelling of 2617472 in words is "two million, six hundred seventeen thousand, four hundred seventy-two".