2755200100 has 81 divisors (see below), whose sum is σ = 6226457601. Its totient is φ = 1058198400.

The previous prime is 2755200059. The next prime is 2755200137. The reversal of 2755200100 is 10025572.

The square root of 2755200100 is 52490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2754780196 + 419904 = 52486^2 + 648^2 .

It is a super-2 number, since 2×2755200100² = 15182255182080020000, which contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 15222010 + ... + 15222190.

Almost surely, 2^2755200100 is an apocalyptic number.

2755200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2755200100 is the 52490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755200100

2755200100 is an abundant number, since it is smaller than the sum of its proper divisors (3471257501).

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

2755200100 is a wasteful number, since it uses less digits than its factorization.

2755200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

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

The cubic root of 2755200100 is about 1401.9021932132.

Adding to 2755200100 its reverse (10025572), we get a palindrome (2765225672).

The spelling of 2755200100 in words is "two billion, seven hundred fifty-five million, two hundred thousand, one hundred".