2432025200000 has 384 divisors, whose sum is σ = 6648954439680. Its totient is φ = 878688000000.

The previous prime is 2432025199997. The next prime is 2432025200041. The reversal of 2432025200000 is 25202342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717198305 + ... + 717201695.

It is an arithmetic number, because the mean of its divisors is an integer number (17314985520).

Almost surely, 2^{2432025200000} is an apocalyptic number.

2432025200000 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 2432025200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324477219840).

2432025200000 is an abundant number, since it is smaller than the sum of its proper divisors (4216929239680).

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

2432025200000 is an equidigital number, since it uses as much as digits as its factorization.

2432025200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The spelling of 2432025200000 in words is "two trillion, four hundred thirty-two billion, twenty-five million, two hundred thousand".