2440240992 has 288 divisors, whose sum is σ = 8312758272. Its totient is φ = 689762304.

The previous prime is 2440240991. The next prime is 2440241053. The reversal of 2440240992 is 2990420442.

2440240992 is a `hidden beast` number, since 244 + 0 + 2 + 409 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440240991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6912688 + ... + 6913040.

It is an arithmetic number, because the mean of its divisors is an integer number (28863744).

Almost surely, 2^2440240992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156379136).

2440240992 is an abundant number, since it is smaller than the sum of its proper divisors (5872517280).

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

2440240992 is a wasteful number, since it uses less digits than its factorization.

2440240992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2440240992 is about 49398.7954509014. The cubic root of 2440240992 is about 1346.3074202121.

The spelling of 2440240992 in words is "two billion, four hundred forty million, two hundred forty thousand, nine hundred ninety-two".