2261580 has 24 divisors (see below), whose sum is σ = 6332592. Its totient is φ = 603072.

The previous prime is 2261573. The next prime is 2261587. The reversal of 2261580 is 851622.

2261580 = 218² + 219² + ... + 257².

It is an interprime number because it is at equal distance from previous prime (2261573) and next prime (2261587).

It is a super-2 number, since 2×2261580² = 10229488192800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261580.

It is not an unprimeable number, because it can be changed into a prime (2261587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18787 + ... + 18906.

It is an arithmetic number, because the mean of its divisors is an integer number (263858).

2^2261580 is an apocalyptic number.

2261580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261580 is an abundant number, since it is smaller than the sum of its proper divisors (4071012).

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

2261580 is a wasteful number, since it uses less digits than its factorization.

2261580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37705 (or 37703 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2261580 is about 1503.8550462062. The cubic root of 2261580 is about 131.2614865231.

The spelling of 2261580 in words is "two million, two hundred sixty-one thousand, five hundred eighty".