2440000 has 70 divisors (see below), whose sum is σ = 6149594. Its totient is φ = 960000.

The previous prime is 2439991. The next prime is 2440003. The reversal of 2440000 is 442.

It can be written as a sum of positive squares in 5 ways, for example, as 1679616 + 760384 = 1296^2 + 872^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39970 + ... + 40030.

2^2440000 is an apocalyptic number.

2440000 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 2440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074797).

2440000 is an abundant number, since it is smaller than the sum of its proper divisors (3709594).

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

2440000 is an frugal number, since it uses more digits than its factorization.

2440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2440000 is about 1562.0499351813. The cubic root of 2440000 is about 134.6263099453.

Adding to 2440000 its reverse (442), we get a palindrome (2440442).

The spelling of 2440000 in words is "two million, four hundred forty thousand".