2472480 has 144 divisors (see below), whose sum is σ = 9022104. Its totient is φ = 614400.

The previous prime is 2472473. The next prime is 2472517. The reversal of 2472480 is 842742.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 1296 = 1572^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2472480² = 12226314700800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24430 + ... + 24530.

2^2472480 is an apocalyptic number.

2472480 is a gapful number since it is divisible by the number (20) 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 2472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511052).

2472480 is an abundant number, since it is smaller than the sum of its proper divisors (6549624).

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

2472480 is a wasteful number, since it uses less digits than its factorization.

2472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2472480 is about 1572.4121597088. The cubic root of 2472480 is about 135.2210370729.

The spelling of 2472480 in words is "two million, four hundred seventy-two thousand, four hundred eighty".