2416401738240 has 640 divisors, whose sum is σ = 9364447065600. Its totient is φ = 518906707968.

The previous prime is 2416401738221. The next prime is 2416401738287. The reversal of 2416401738240 is 428371046142.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2416401738192 and 2416401738201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 596787736 + ... + 596791784.

It is an arithmetic number, because the mean of its divisors is an integer number (14631948540).

Almost surely, 2^{2416401738240} is an apocalyptic number.

2416401738240 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 2416401738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682223532800).

2416401738240 is an abundant number, since it is smaller than the sum of its proper divisors (6948045327360).

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

2416401738240 is a wasteful number, since it uses less digits than its factorization.

2416401738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 2416401738240 in words is "two trillion, four hundred sixteen billion, four hundred one million, seven hundred thirty-eight thousand, two hundred forty".