2452032000 has 800 divisors, whose sum is σ = 10195758144. Its totient is φ = 580608000.

The previous prime is 2452031999. The next prime is 2452032013. The reversal of 2452032000 is 2302542.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57023979 + ... + 57024021.

Almost surely, 2^2452032000 is an apocalyptic number.

2452032000 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 2452032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097879072).

2452032000 is an abundant number, since it is smaller than the sum of its proper divisors (7743726144).

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

2452032000 is an equidigital number, since it uses as much as digits as its factorization.

2452032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2452032000 is about 49517.9967284623. The cubic root of 2452032000 is about 1348.4723460397.

Adding to 2452032000 its reverse (2302542), we get a palindrome (2454334542).

The spelling of 2452032000 in words is "two billion, four hundred fifty-two million, thirty-two thousand".