2432480544 has 252 divisors, whose sum is σ = 7787539746. Its totient is φ = 747242496.

The previous prime is 2432480467. The next prime is 2432480551. The reversal of 2432480544 is 4450842342.

2432480544 is a `hidden beast` number, since 2 + 4 + 32 + 4 + 80 + 544 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 519292944 + 1913187600 = 22788^2 + 43740^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2432480499 and 2432480508.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3942124 + ... + 3942740.

Almost surely, 2^2432480544 is an apocalyptic number.

2432480544 is a gapful number since it is divisible by the number (24) 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 2432480544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893769873).

2432480544 is an abundant number, since it is smaller than the sum of its proper divisors (5355059202).

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

2432480544 is an equidigital number, since it uses as much as digits as its factorization.

2432480544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 2432480544 is about 49320.1839412628. The cubic root of 2432480544 is about 1344.8787301929.

The spelling of 2432480544 in words is "two billion, four hundred thirty-two million, four hundred eighty thousand, five hundred forty-four".