2472288 has 96 divisors (see below), whose sum is σ = 8015616. Its totient is φ = 649728.

The previous prime is 2472251. The next prime is 2472289. The reversal of 2472288 is 8822742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2472288³ = 45333415141537775616, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472289) 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, 8595 + ... + 8877.

It is an arithmetic number, because the mean of its divisors is an integer number (83496).

2^2472288 is an apocalyptic number.

2472288 is a gapful number since it is divisible by the number (28) 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 2472288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007808).

2472288 is an abundant number, since it is smaller than the sum of its proper divisors (5543328).

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

2472288 is a wasteful number, since it uses less digits than its factorization.

2472288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2472288 is about 1572.3511058285. The cubic root of 2472288 is about 135.2175367936.

The spelling of 2472288 in words is "two million, four hundred seventy-two thousand, two hundred eighty-eight".