2452144332000 has 768 divisors, whose sum is σ = 9274864435200. Its totient is φ = 560113920000.

The previous prime is 2452144331957. The next prime is 2452144332037. The reversal of 2452144332000 is 2334412542.

2452144332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 479025441 + ... + 479030559.

It is an arithmetic number, because the mean of its divisors is an integer number (12076646400).

Almost surely, 2^{2452144332000} is an apocalyptic number.

2452144332000 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 2452144332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637432217600).

2452144332000 is an abundant number, since it is smaller than the sum of its proper divisors (6822720103200).

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

2452144332000 is a wasteful number, since it uses less digits than its factorization.

2452144332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2452144332000 its reverse (2334412542), we get a palindrome (2454478744542).

The spelling of 2452144332000 in words is "two trillion, four hundred fifty-two billion, one hundred forty-four million, three hundred thirty-two thousand".