2522253552000 has 1024 divisors, whose sum is σ = 10896456130560. Its totient is φ = 500849049600.

The previous prime is 2522253551963. The next prime is 2522253552011. The reversal of 2522253552000 is 2553522252.

It is a happy number.

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, 74239017 + ... + 74272983.

It is an arithmetic number, because the mean of its divisors is an integer number (10641070440).

Almost surely, 2^{2522253552000} is an apocalyptic number.

2522253552000 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 2522253552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448228065280).

2522253552000 is an abundant number, since it is smaller than the sum of its proper divisors (8374202578560).

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

2522253552000 is a wasteful number, since it uses less digits than its factorization.

2522253552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34036 (or 34014 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 33.

The spelling of 2522253552000 in words is "two trillion, five hundred twenty-two billion, two hundred fifty-three million, five hundred fifty-two thousand".