2261711200 has 72 divisors (see below), whose sum is σ = 6310189872. Its totient is φ = 775441920.

The previous prime is 2261711197. The next prime is 2261711219. The reversal of 2261711200 is 21171622.

It is a happy number.

2261711200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196339 + ... + 207538.

It is an arithmetic number, because the mean of its divisors is an integer number (87641526).

Almost surely, 2^2261711200 is an apocalyptic number.

2261711200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261711200 is an abundant number, since it is smaller than the sum of its proper divisors (4048478672).

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

2261711200 is a wasteful number, since it uses less digits than its factorization.

2261711200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403904 (or 403891 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 2261711200 is about 47557.4515717569. The cubic root of 2261711200 is about 1312.6402474472.

Adding to 2261711200 its reverse (21171622), we get a palindrome (2282882822).

The spelling of 2261711200 in words is "two billion, two hundred sixty-one million, seven hundred eleven thousand, two hundred".