2382432000 has 576 divisors, whose sum is σ = 8999617536. Its totient is φ = 554188800.

The previous prime is 2382431971. The next prime is 2382432001. The reversal of 2382432000 is 2342832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382432001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28703959 + ... + 28704041.

It is an arithmetic number, because the mean of its divisors is an integer number (15624336).

Almost surely, 2^2382432000 is an apocalyptic number.

2382432000 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 2382432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499808768).

2382432000 is an abundant number, since it is smaller than the sum of its proper divisors (6617185536).

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

2382432000 is a wasteful number, since it uses less digits than its factorization.

2382432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2382432000 is about 48810.1628761880. The cubic root of 2382432000 is about 1335.5910637212.

Adding to 2382432000 its reverse (2342832), we get a palindrome (2384774832).

The spelling of 2382432000 in words is "two billion, three hundred eighty-two million, four hundred thirty-two thousand".