2201253525020 has 96 divisors (see below), whose sum is σ = 5129149132800. Its totient is φ = 786765267200.

The previous prime is 2201253524999. The next prime is 2201253525067. The reversal of 2201253525020 is 205253521022.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 137047790 + ... + 137063850.

It is an arithmetic number, because the mean of its divisors is an integer number (53428636800).

Almost surely, 2^{2201253525020} is an apocalyptic number.

2201253525020 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 2201253525020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564574566400).

2201253525020 is an abundant number, since it is smaller than the sum of its proper divisors (2927895607780).

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

2201253525020 is a wasteful number, since it uses less digits than its factorization.

2201253525020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26699 (or 26697 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 2201253525020 in words is "two trillion, two hundred one billion, two hundred fifty-three million, five hundred twenty-five thousand, twenty".