2415432000 has 224 divisors, whose sum is σ = 8397118080. Its totient is φ = 610099200.

The previous prime is 2415431989. The next prime is 2415432001. The reversal of 2415432000 is 2345142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415432001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453352 + ... + 458648.

Almost surely, 2^2415432000 is an apocalyptic number.

2415432000 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 2415432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198559040).

2415432000 is an abundant number, since it is smaller than the sum of its proper divisors (5981686080).

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

2415432000 is a wasteful number, since it uses less digits than its factorization.

2415432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2415432000 is about 49147.0446720858. The cubic root of 2415432000 is about 1341.7294073682.

Adding to 2415432000 its reverse (2345142), we get a palindrome (2417777142).

The spelling of 2415432000 in words is "two billion, four hundred fifteen million, four hundred thirty-two thousand".