2431978813440 has 1152 divisors, whose sum is σ = 9857656972800. Its totient is φ = 548500930560.

The previous prime is 2431978813373. The next prime is 2431978813441. The reversal of 2431978813440 is 443188791342.

2431978813440 is a `hidden beast` number, since 2 + 4 + 3 + 197 + 8 + 8 + 1 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431978813441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 862708351 + ... + 862711169.

It is an arithmetic number, because the mean of its divisors is an integer number (8556993900).

Almost surely, 2^{2431978813440} is an apocalyptic number.

2431978813440 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 2431978813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928828486400).

2431978813440 is an abundant number, since it is smaller than the sum of its proper divisors (7425678159360).

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

2431978813440 is a wasteful number, since it uses less digits than its factorization.

2431978813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2431978813440 in words is "two trillion, four hundred thirty-one billion, nine hundred seventy-eight million, eight hundred thirteen thousand, four hundred forty".