2055017200 has 120 divisors (see below), whose sum is σ = 5286268800. Its totient is φ = 765377280.

The previous prime is 2055017191. The next prime is 2055017201. The reversal of 2055017200 is 27105502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055017201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 446109 + ... + 450691.

It is an arithmetic number, because the mean of its divisors is an integer number (44052240).

Almost surely, 2^2055017200 is an apocalyptic number.

2055017200 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 2055017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643134400).

2055017200 is an abundant number, since it is smaller than the sum of its proper divisors (3231251600).

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

2055017200 is a wasteful number, since it uses less digits than its factorization.

2055017200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 2055017200 is about 45332.2975371864. The cubic root of 2055017200 is about 1271.3695932147.

The spelling of 2055017200 in words is "two billion, fifty-five million, seventeen thousand, two hundred".