2261680 has 40 divisors (see below), whose sum is σ = 5571072. Its totient is φ = 850944.

The previous prime is 2261653. The next prime is 2261689. The reversal of 2261680 is 861622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2261680³ = 34706812333840896000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261689) 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, 529 + ... + 2191.

2^2261680 is an apocalyptic number.

2261680 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 2261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785536).

2261680 is an abundant number, since it is smaller than the sum of its proper divisors (3309392).

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

2261680 is a wasteful number, since it uses less digits than its factorization.

2261680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2261680 is about 1503.8882937240. Note that the first 3 decimals coincide. The cubic root of 2261680 is about 131.2634211521.

The spelling of 2261680 in words is "two million, two hundred sixty-one thousand, six hundred eighty".