2575324752000 has 4608 divisors, whose sum is σ = 12747115929600. Its totient is φ = 452874240000.

The previous prime is 2575324751963. The next prime is 2575324752001. The reversal of 2575324752000 is 2574235752.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2575324752001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83074991985 + ... + 83074992015.

It is an arithmetic number, because the mean of its divisors is an integer number (2766301200).

Almost surely, 2^{2575324752000} is an apocalyptic number.

2575324752000 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 2575324752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373557964800).

2575324752000 is an abundant number, since it is smaller than the sum of its proper divisors (10171791177600).

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

2575324752000 is a wasteful number, since it uses less digits than its factorization.

2575324752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 42.

Adding to 2575324752000 its reverse (2574235752), we get a palindrome (2577898987752).

The spelling of 2575324752000 in words is "two trillion, five hundred seventy-five billion, three hundred twenty-four million, seven hundred fifty-two thousand".