2054800 has 60 divisors (see below), whose sum is σ = 5396976. Its totient is φ = 745600.

The previous prime is 2054791. The next prime is 2054821. The reversal of 2054800 is 84502.

It is a happy number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4167 + ... + 4633.

2^2054800 is an apocalyptic number.

2054800 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 2054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698488).

2054800 is an abundant number, since it is smaller than the sum of its proper divisors (3342176).

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

2054800 is a wasteful number, since it uses less digits than its factorization.

2054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2054800 is about 1433.4573589751. The cubic root of 2054800 is about 127.1324800207.

It can be divided in two parts, 205 and 4800, that added together give a palindrome (5005).

The spelling of 2054800 in words is "two million, fifty-four thousand, eight hundred".