2440097856 has 336 divisors, whose sum is σ = 8573999616. Its totient is φ = 647626752.

The previous prime is 2440097843. The next prime is 2440097861. The reversal of 2440097856 is 6587900442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6648585 + ... + 6648951.

It is an arithmetic number, because the mean of its divisors is an integer number (25517856).

Almost surely, 2^2440097856 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 2440097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286999808).

2440097856 is an abundant number, since it is smaller than the sum of its proper divisors (6133901760).

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

2440097856 is a wasteful number, since it uses less digits than its factorization.

2440097856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2440097856 is about 49397.3466493900. The cubic root of 2440097856 is about 1346.2810964696.

The spelling of 2440097856 in words is "two billion, four hundred forty million, ninety-seven thousand, eight hundred fifty-six".