2210724 has 18 divisors (see below), whose sum is σ = 5588310. Its totient is φ = 736896.

The previous prime is 2210723. The next prime is 2210729. The reversal of 2210724 is 4270122.

2210724 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2196324 + 14400 = 1482^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2210697 and 2210706.

It is not an unprimeable number, because it can be changed into a prime (2210723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30669 + ... + 30740.

2^2210724 is an apocalyptic number.

It is an amenable number.

2210724 is an abundant number, since it is smaller than the sum of its proper divisors (3377586).

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

2210724 is a wasteful number, since it uses less digits than its factorization.

2210724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61419 (or 61414 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2210724 is about 1486.8503623432. The cubic root of 2210724 is about 130.2701286428.

Adding to 2210724 its reverse (4270122), we get a palindrome (6480846).

The spelling of 2210724 in words is "two million, two hundred ten thousand, seven hundred twenty-four".