2197760 has 72 divisors (see below), whose sum is σ = 5629176. Its totient is φ = 819200.

The previous prime is 2197759. The next prime is 2197771. The reversal of 2197760 is 677912.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 1149184 = 1024^2 + 1072^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 21710 + ... + 21810.

It is an arithmetic number, because the mean of its divisors is an integer number (78183).

2^2197760 is an apocalyptic number.

2197760 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 2197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814588).

2197760 is an abundant number, since it is smaller than the sum of its proper divisors (3431416).

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

2197760 is a wasteful number, since it uses less digits than its factorization.

2197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 2197760 is about 1482.4844012670. The cubic root of 2197760 is about 130.0149884099.

The spelling of 2197760 in words is "two million, one hundred ninety-seven thousand, seven hundred sixty".