2432532480 has 384 divisors, whose sum is σ = 9144491760. Its totient is φ = 550502400.

The previous prime is 2432532461. The next prime is 2432532511. The reversal of 2432532480 is 842352342.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×2432532480⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

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, 24084430 + ... + 24084530.

Almost surely, 2^2432532480 is an apocalyptic number.

2432532480 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 2432532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572245880).

2432532480 is an abundant number, since it is smaller than the sum of its proper divisors (6711959280).

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

2432532480 is an equidigital number, since it uses as much as digits as its factorization.

2432532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2432532480 is about 49320.7104571700. The cubic root of 2432532480 is about 1344.8883016466. Note that the first 3 decimals are identical.

The spelling of 2432532480 in words is "two billion, four hundred thirty-two million, five hundred thirty-two thousand, four hundred eighty".