2126304 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 671616.

The previous prime is 2126303. The next prime is 2126317. The reversal of 2126304 is 4036212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19819 + ... + 19925.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2^2126304 is an apocalyptic number.

2126304 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 2126304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2126304 is an abundant number, since it is smaller than the sum of its proper divisors (4405536).

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

2126304 is a wasteful number, since it uses less digits than its factorization.

2126304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2126304 is about 1458.1851734262. The cubic root of 2126304 is about 128.5903718120.

The spelling of 2126304 in words is "two million, one hundred twenty-six thousand, three hundred four".