2261312100 has 144 divisors (see below), whose sum is σ = 7295783040. Its totient is φ = 600854400.

The previous prime is 2261312093. The next prime is 2261312107. The reversal of 2261312100 is 12131622.

It is an interprime number because it is at equal distance from previous prime (2261312093) and next prime (2261312107).

It is a super-2 number, since 2×2261312100² = 10227064827212820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2261312107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838354 + ... + 841046.

It is an arithmetic number, because the mean of its divisors is an integer number (50665160).

Almost surely, 2^2261312100 is an apocalyptic number.

2261312100 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 2261312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647891520).

2261312100 is an abundant number, since it is smaller than the sum of its proper divisors (5034470940).

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

2261312100 is a wasteful number, since it uses less digits than its factorization.

2261312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2261312100 is about 47553.2554090674. The cubic root of 2261312100 is about 1312.5630337074.

Adding to 2261312100 its reverse (12131622), we get a palindrome (2273443722).

The spelling of 2261312100 in words is "two billion, two hundred sixty-one million, three hundred twelve thousand, one hundred".