2456432000 has 256 divisors, whose sum is σ = 7063018560. Its totient is φ = 839680000.

The previous prime is 2456431987. The next prime is 2456432003. The reversal of 2456432000 is 2346542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456432003) 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, 2991590 + ... + 2992410.

Almost surely, 2^2456432000 is an apocalyptic number.

2456432000 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 2456432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531509280).

2456432000 is an abundant number, since it is smaller than the sum of its proper divisors (4606586560).

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

2456432000 is a wasteful number, since it uses less digits than its factorization.

2456432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2456432000 is about 49562.4051070971. The cubic root of 2456432000 is about 1349.2784438538.

Adding to 2456432000 its reverse (2346542), we get a palindrome (2458778542).

The spelling of 2456432000 in words is "two billion, four hundred fifty-six million, four hundred thirty-two thousand".