2211280 has 40 divisors (see below), whose sum is σ = 5205024. Its totient is φ = 873600.

The previous prime is 2211269. The next prime is 2211281. The reversal of 2211280 is 821122.

2211280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211281) 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 7 ways as a sum of consecutive naturals, for example, 10375 + ... + 10585.

2^2211280 is an apocalyptic number.

2211280 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 2211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602512).

2211280 is an abundant number, since it is smaller than the sum of its proper divisors (2993744).

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

2211280 is a wasteful number, since it uses less digits than its factorization.

2211280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2211280 is about 1487.0373230017. The cubic root of 2211280 is about 130.2810487637.

It can be divided in two parts, 22 and 11280, that multiplied together give a triangular number (248160 = T₇₀₄).

The spelling of 2211280 in words is "two million, two hundred eleven thousand, two hundred eighty".