2053114201200 has 240 divisors, whose sum is σ = 6989586253920. Its totient is φ = 513374453760.

The previous prime is 2053114201007. The next prime is 2053114201261. The reversal of 2053114201200 is 21024113502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2053114201200² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5300532 + ... + 5674668.

It is an arithmetic number, because the mean of its divisors is an integer number (29123276058).

Almost surely, 2^{2053114201200} is an apocalyptic number.

2053114201200 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 2053114201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494793126960).

2053114201200 is an abundant number, since it is smaller than the sum of its proper divisors (4936472052720).

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

2053114201200 is a wasteful number, since it uses less digits than its factorization.

2053114201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374444 (or 374433 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 2053114201200 its reverse (21024113502), we get a palindrome (2074138314702).

The spelling of 2053114201200 in words is "two trillion, fifty-three billion, one hundred fourteen million, two hundred one thousand, two hundred".