2440320 has 128 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 614400.

The previous prime is 2440313. The next prime is 2440327. The reversal of 2440320 is 230442.

2440320 = T₄₀ + T₄₁ + ... + T₂₄₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2440313) and next prime (2440327).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2440320.

It is not an unprimeable number, because it can be changed into a prime (2440327) 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, 59500 + ... + 59540.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2^2440320 is an apocalyptic number.

2440320 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 2440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2440320 is an abundant number, since it is smaller than the sum of its proper divisors (5784960).

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

2440320 is a wasteful number, since it uses less digits than its factorization.

2440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2440320 is about 1562.1523613272. The cubic root of 2440320 is about 134.6321949912.

Adding to 2440320 its reverse (230442), we get a palindrome (2670762).

The spelling of 2440320 in words is "two million, four hundred forty thousand, three hundred twenty".