2209920 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 588800.

The previous prime is 2209913. The next prime is 2209931. The reversal of 2209920 is 299022.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

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, 1345 + ... + 2495.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

2^2209920 is an apocalyptic number.

2209920 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 2209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2209920 is an abundant number, since it is smaller than the sum of its proper divisors (4840320).

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

2209920 is a wasteful number, since it uses less digits than its factorization.

2209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2209920 is about 1486.5799675766. The cubic root of 2209920 is about 130.2543344380.

The spelling of 2209920 in words is "two million, two hundred nine thousand, nine hundred twenty".