2075253724500 has 768 divisors, whose sum is σ = 7345325804544. Its totient is φ = 449372160000.

The previous prime is 2075253724477. The next prime is 2075253724501. The reversal of 2075253724500 is 54273525702.

It is a super-2 number, since 2×2075253724500² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075253724501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 425516062 + ... + 425520938.

It is an arithmetic number, because the mean of its divisors is an integer number (9564226308).

Almost surely, 2^{2075253724500} is an apocalyptic number.

2075253724500 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 2075253724500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672662902272).

2075253724500 is an abundant number, since it is smaller than the sum of its proper divisors (5270072080044).

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

2075253724500 is a wasteful number, since it uses less digits than its factorization.

2075253724500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4993 counting only the distinct ones).

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

The spelling of 2075253724500 in words is "two trillion, seventy-five billion, two hundred fifty-three million, seven hundred twenty-four thousand, five hundred".