2440938240 has 360 divisors, whose sum is σ = 9411172848. Its totient is φ = 600514560.

The previous prime is 2440938229. The next prime is 2440938257. The reversal of 2440938240 is 428390442.

2440938240 is a `hidden beast` number, since 2 + 4 + 409 + 3 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2440938195 and 2440938204.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1346935 + ... + 1348745.

Almost surely, 2^2440938240 is an apocalyptic number.

2440938240 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 2440938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705586424).

2440938240 is an abundant number, since it is smaller than the sum of its proper divisors (6970234608).

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

2440938240 is a wasteful number, since it uses less digits than its factorization.

2440938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2440938240 is about 49405.8522849267. The cubic root of 2440938240 is about 1346.4356344292.

The spelling of 2440938240 in words is "two billion, four hundred forty million, nine hundred thirty-eight thousand, two hundred forty".