2053414022200 has 96 divisors (see below), whose sum is σ = 4824437310000. Its totient is φ = 812756505600.

The previous prime is 2053414022147. The next prime is 2053414022239. The reversal of 2053414022200 is 22204143502.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9031516 + ... + 9256084.

Almost surely, 2^{2053414022200} is an apocalyptic number.

2053414022200 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 2053414022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412218655000).

2053414022200 is an abundant number, since it is smaller than the sum of its proper divisors (2771023287800).

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

2053414022200 is a wasteful number, since it uses less digits than its factorization.

2053414022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225065 (or 225056 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2053414022200 its reverse (22204143502), we get a palindrome (2075618165702).

The spelling of 2053414022200 in words is "two trillion, fifty-three billion, four hundred fourteen million, twenty-two thousand, two hundred".