2261720200 has 48 divisors (see below), whose sum is σ = 5271799860. Its totient is φ = 902400000.

The previous prime is 2261720173. The next prime is 2261720207. The reversal of 2261720200 is 20271622.

It can be written as a sum of positive squares in 6 ways, for example, as 1741059076 + 520661124 = 41726^2 + 22818^2 .

It is a super-3 number, since 3×2261720200³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261720207) 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, 66100 + ... + 94300.

Almost surely, 2^2261720200 is an apocalyptic number.

2261720200 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 2261720200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635899930).

2261720200 is an abundant number, since it is smaller than the sum of its proper divisors (3010079660).

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

2261720200 is a wasteful number, since it uses less digits than its factorization.

2261720200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28618 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2261720200 is about 47557.5461940584. The cubic root of 2261720200 is about 1312.6419885693.

Adding to 2261720200 its reverse (20271622), we get a palindrome (2281991822).

The spelling of 2261720200 in words is "two billion, two hundred sixty-one million, seven hundred twenty thousand, two hundred".