2126240 has 48 divisors (see below), whose sum is σ = 5112072. Its totient is φ = 835584.

The previous prime is 2126227. The next prime is 2126249. The reversal of 2126240 is 426212.

2126240 = T₁₅₉ + T₁₆₀ + ... + T₂₅₅.

It can be written as a sum of positive squares in 4 ways, for example, as 1731856 + 394384 = 1316^2 + 628^2 .

It is not an unprimeable number, because it can be changed into a prime (2126249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15452 + ... + 15588.

2^2126240 is an apocalyptic number.

2126240 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 2126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556036).

2126240 is an abundant number, since it is smaller than the sum of its proper divisors (2985832).

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

2126240 is a wasteful number, since it uses less digits than its factorization.

2126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2126240 is about 1458.1632281744. The cubic root of 2126240 is about 128.5890816443.

The spelling of 2126240 in words is "two million, one hundred twenty-six thousand, two hundred forty".