2052210112000 has 160 divisors (see below), whose sum is σ = 5167996932384. Its totient is φ = 812753920000.

The previous prime is 2052210111971. The next prime is 2052210112009. The reversal of 2052210112000 is 2110122502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052210112009) 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 15 ways as a sum of consecutive naturals, for example, 6305259 + ... + 6622741.

Almost surely, 2^{2052210112000} is an apocalyptic number.

2052210112000 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 2052210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583998466192).

2052210112000 is an abundant number, since it is smaller than the sum of its proper divisors (3115786820384).

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

2052210112000 is an equidigital number, since it uses as much as digits as its factorization.

2052210112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317617 (or 317591 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 2052210112000 its reverse (2110122502), we get a palindrome (2054320234502).

The spelling of 2052210112000 in words is "two trillion, fifty-two billion, two hundred ten million, one hundred twelve thousand".