2054234811200 has 252 divisors, whose sum is σ = 5983385749740. Its totient is φ = 689532518400.

The previous prime is 2054234811197. The next prime is 2054234811271. The reversal of 2054234811200 is 21184324502.

It can be written as a sum of positive squares in 6 ways, for example, as 613677957376 + 1440556853824 = 783376^2 + 1200232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2108696 + ... + 2924904.

It is an arithmetic number, because the mean of its divisors is an integer number (23743594245).

Almost surely, 2^{2054234811200} is an apocalyptic number.

2054234811200 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 2054234811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991692874870).

2054234811200 is an abundant number, since it is smaller than the sum of its proper divisors (3929150938540).

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

2054234811200 is a wasteful number, since it uses less digits than its factorization.

2054234811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816266 (or 816240 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 2054234811200 in words is "two trillion, fifty-four billion, two hundred thirty-four million, eight hundred eleven thousand, two hundred".