2079400 has 48 divisors (see below), whose sum is σ = 4982940. Its totient is φ = 806400.

The previous prime is 2079353. The next prime is 2079401. The reversal of 2079400 is 49702.

It can be written as a sum of positive squares in 6 ways, for example, as 1397124 + 682276 = 1182^2 + 826^2 .

It is not an unprimeable number, because it can be changed into a prime (2079401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7260 + ... + 7540.

2^2079400 is an apocalyptic number.

2079400 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 2079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491470).

2079400 is an abundant number, since it is smaller than the sum of its proper divisors (2903540).

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

2079400 is a wasteful number, since it uses less digits than its factorization.

2079400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2079400 is about 1442.0124826089. The cubic root of 2079400 is about 127.6378107501.

The spelling of 2079400 in words is "two million, seventy-nine thousand, four hundred".