2261414440 has 72 divisors (see below), whose sum is σ = 5209410510. Its totient is φ = 883512576.

The previous prime is 2261414437. The next prime is 2261414453. The reversal of 2261414440 is 444141622.

It can be written as a sum of positive squares in 3 ways, for example, as 1925278884 + 336135556 = 43878^2 + 18334^2 .

It is a super-2 number, since 2×2261414440² = 10227990538881027200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261414399 and 2261414408.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 21955429 + ... + 21955531.

Almost surely, 2^2261414440 is an apocalyptic number.

2261414440 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 2261414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604705255).

2261414440 is an abundant number, since it is smaller than the sum of its proper divisors (2947996070).

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

2261414440 is an equidigital number, since it uses as much as digits as its factorization.

2261414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2261414440 is about 47554.3314536121. The cubic root of 2261414440 is about 1312.5828342581.

The spelling of 2261414440 in words is "two billion, two hundred sixty-one million, four hundred fourteen thousand, four hundred forty".