2440940320 has 384 divisors, whose sum is σ = 7644865536. Its totient is φ = 715309056.

The previous prime is 2440940273. The next prime is 2440940323. The reversal of 2440940320 is 230490442.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2440940323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12390462 + ... + 12390658.

It is an arithmetic number, because the mean of its divisors is an integer number (19908504).

Almost surely, 2^2440940320 is an apocalyptic number.

2440940320 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 2440940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822432768).

2440940320 is an abundant number, since it is smaller than the sum of its proper divisors (5203925216).

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

2440940320 is a wasteful number, since it uses less digits than its factorization.

2440940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2440940320 is about 49405.8733350601. The cubic root of 2440940320 is about 1346.4360168757.

The spelling of 2440940320 in words is "two billion, four hundred forty million, nine hundred forty thousand, three hundred twenty".