2211920 has 40 divisors (see below), whose sum is σ = 5270496. Its totient is φ = 862848.

The previous prime is 2211919. The next prime is 2211929. The reversal of 2211920 is 291122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3119 + ... + 3761.

2^2211920 is an apocalyptic number.

2211920 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 2211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635248).

2211920 is an abundant number, since it is smaller than the sum of its proper divisors (3058576).

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

2211920 is a wasteful number, since it uses less digits than its factorization.

2211920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2211920 is about 1487.2525004181. The cubic root of 2211920 is about 130.2936164211.

The spelling of 2211920 in words is "two million, two hundred eleven thousand, nine hundred twenty".