2416738506336 has 3072 divisors, whose sum is σ = 10420845281280. Its totient is φ = 532102348800.

The previous prime is 2416738506317. The next prime is 2416738506349. The reversal of 2416738506336 is 6336058376142.

2416738506336 is a `hidden beast` number, since 2 + 41 + 67 + 3 + 8 + 506 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 65317256910 + ... + 65317256946.

It is an arithmetic number, because the mean of its divisors is an integer number (3392202240).

Almost surely, 2^{2416738506336} 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 2416738506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210422640640).

2416738506336 is an abundant number, since it is smaller than the sum of its proper divisors (8004106774944).

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

2416738506336 is a wasteful number, since it uses less digits than its factorization.

2416738506336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 2416738506336 in words is "two trillion, four hundred sixteen billion, seven hundred thirty-eight million, five hundred six thousand, three hundred thirty-six".