2432112480 has 960 divisors, whose sum is σ = 11064936960. Its totient is φ = 489701376.

The previous prime is 2432112469. The next prime is 2432112481. The reversal of 2432112480 is 842112342.

It is a super-2 number, since 2×2432112480² = 11830342230743500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432112481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29302519 + ... + 29302601.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2^2432112480 is an apocalyptic number.

2432112480 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 2432112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532468480).

2432112480 is an abundant number, since it is smaller than the sum of its proper divisors (8632824480).

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

2432112480 is a wasteful number, since it uses less digits than its factorization.

2432112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2432112480 is about 49316.4524271566. The cubic root of 2432112480 is about 1344.8108945816.

The spelling of 2432112480 in words is "two billion, four hundred thirty-two million, one hundred twelve thousand, four hundred eighty".