2219400 has 120 divisors (see below), whose sum is σ = 7764570. Its totient is φ = 587520.

The previous prime is 2219377. The next prime is 2219411. The reversal of 2219400 is 49122.

It can be written as a sum of positive squares in 3 ways, for example, as 1726596 + 492804 = 1314^2 + 702^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16132 + ... + 16268.

2^2219400 is an apocalyptic number.

2219400 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 2219400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882285).

2219400 is an abundant number, since it is smaller than the sum of its proper divisors (5545170).

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

2219400 is a wasteful number, since it uses less digits than its factorization.

2219400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2219400 is about 1489.7650821522. The cubic root of 2219400 is about 130.4403215039.

The spelling of 2219400 in words is "two million, two hundred nineteen thousand, four hundred".