2055200 has 72 divisors (see below), whose sum is σ = 5749632. Its totient is φ = 702720.

The previous prime is 2055199. The next prime is 2055203. The reversal of 2055200 is 25502.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5417 + ... + 5783.

It is an arithmetic number, because the mean of its divisors is an integer number (79856).

2^2055200 is an apocalyptic number.

2055200 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 2055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874816).

2055200 is an abundant number, since it is smaller than the sum of its proper divisors (3694432).

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

2055200 is a wasteful number, since it uses less digits than its factorization.

2055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2055200 is about 1433.5968749966. The cubic root of 2055200 is about 127.1407289488.

The spelling of 2055200 in words is "two million, fifty-five thousand, two hundred".