2416146840016 has 180 divisors, whose sum is σ = 5910263013600. Its totient is φ = 953638043904.

The previous prime is 2416146839999. The next prime is 2416146840017. The reversal of 2416146840016 is 6100486416142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416146840017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58144975 + ... + 58186513.

It is an arithmetic number, because the mean of its divisors is an integer number (32834794520).

Almost surely, 2^{2416146840016} is an apocalyptic number.

2416146840016 is a gapful number since it is divisible by the number (26) 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 2416146840016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955131506800).

2416146840016 is an abundant number, since it is smaller than the sum of its proper divisors (3494116173584).

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

2416146840016 is a wasteful number, since it uses less digits than its factorization.

2416146840016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42026 (or 42000 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 2416146840016 in words is "two trillion, four hundred sixteen billion, one hundred forty-six million, eight hundred forty thousand, sixteen".