2261541220 has 24 divisors (see below), whose sum is σ = 4913004600. Its totient is φ = 873422592.

The previous prime is 2261541209. The next prime is 2261541223. The reversal of 2261541220 is 221451622.

It can be written as a sum of positive squares in 4 ways, for example, as 13264164 + 2248277056 = 3642^2 + 47416^2 .

It is a super-2 number, since 2×2261541220² = 10229137379518176800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261541223) 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 7 ways as a sum of consecutive naturals, for example, 1949025 + ... + 1950184.

It is an arithmetic number, because the mean of its divisors is an integer number (204708525).

Almost surely, 2^2261541220 is an apocalyptic number.

2261541220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261541220 is an abundant number, since it is smaller than the sum of its proper divisors (2651463380).

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

2261541220 is a wasteful number, since it uses less digits than its factorization.

2261541220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899247 (or 3899245 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2261541220 is about 47555.6644365316. The cubic root of 2261541220 is about 1312.6073625856.

Adding to 2261541220 its reverse (221451622), we get a palindrome (2482992842).

The spelling of 2261541220 in words is "two billion, two hundred sixty-one million, five hundred forty-one thousand, two hundred twenty".