2211840 has 120 divisors (see below), whose sum is σ = 7864080. Its totient is φ = 589824.

The previous prime is 2211821. The next prime is 2211883. The reversal of 2211840 is 481122.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (2!)⁷.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 442366 + ... + 442370.

It is an arithmetic number, because the mean of its divisors is an integer number (65534).

2^2211840 is an apocalyptic number.

2211840 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 2211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932040).

2211840 is an abundant number, since it is smaller than the sum of its proper divisors (5652240).

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

2211840 is an frugal number, since it uses more digits than its factorization.

2211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2211840 is about 1487.2256049436. The cubic root of 2211840 is about 130.2920455966.

Adding to 2211840 its reverse (481122), we get a palindrome (2692962).

The spelling of 2211840 in words is "two million, two hundred eleven thousand, eight hundred forty".