2261760 has 144 divisors (see below), whose sum is σ = 7848960. Its totient is φ = 552960.

The previous prime is 2261737. The next prime is 2261771. The reversal of 2261760 is 671622.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2261760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72945 + ... + 72975.

2^2261760 is an apocalyptic number.

2261760 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 2261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924480).

2261760 is an abundant number, since it is smaller than the sum of its proper divisors (5587200).

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

2261760 is a wasteful number, since it uses less digits than its factorization.

2261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2261760 is about 1503.9148912089. The cubic root of 2261760 is about 131.2649688143.

The spelling of 2261760 in words is "two million, two hundred sixty-one thousand, seven hundred sixty".