2221760 has 56 divisors (see below), whose sum is σ = 5431536. Its totient is φ = 865280.

The previous prime is 2221757. The next prime is 2221771. The reversal of 2221760 is 671222.

It is a hoax number, since the sum of its digits (20) 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16895 + ... + 17025.

2^2221760 is an apocalyptic number.

2221760 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 2221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715768).

2221760 is an abundant number, since it is smaller than the sum of its proper divisors (3209776).

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

2221760 is a wasteful number, since it uses less digits than its factorization.

2221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2221760 is about 1490.5569428908. The cubic root of 2221760 is about 130.4865397175.

Adding to 2221760 its reverse (671222), we get a palindrome (2892982).

The spelling of 2221760 in words is "two million, two hundred twenty-one thousand, seven hundred sixty".