2472576 has 64 divisors (see below), whose sum is σ = 6756480. Its totient is φ = 800768.

The previous prime is 2472559. The next prime is 2472577. The reversal of 2472576 is 6752742.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2472576² = 12227264151552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2472577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17980 + ... + 18116.

It is an arithmetic number, because the mean of its divisors is an integer number (105570).

2^2472576 is an apocalyptic number.

2472576 is the 995-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378240).

2472576 is an abundant number, since it is smaller than the sum of its proper divisors (4283904).

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

2472576 is a wasteful number, since it uses less digits than its factorization.

2472576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 2472576 is about 1572.4426857600. The cubic root of 2472576 is about 135.2227871445. Note that the first 3 decimals are identical.

The spelling of 2472576 in words is "two million, four hundred seventy-two thousand, five hundred seventy-six".