2213904 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 574080.

The previous prime is 2213891. The next prime is 2213923. The reversal of 2213904 is 4093122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3397 + ... + 3995.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

2^2213904 is an apocalyptic number.

2213904 is a gapful number since it is divisible by the number (24) 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 2213904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2213904 is an abundant number, since it is smaller than the sum of its proper divisors (4928496).

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

2213904 is a wasteful number, since it uses less digits than its factorization.

2213904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2213904 is about 1487.9193526532. The cubic root of 2213904 is about 130.3325607598.

The spelling of 2213904 in words is "two million, two hundred thirteen thousand, nine hundred four".