2416540164208 has 120 divisors (see below), whose sum is σ = 5321272187120. Its totient is φ = 1059679272960.

The previous prime is 2416540164187. The next prime is 2416540164329. The reversal of 2416540164208 is 8024610456142.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5133760 + ... + 5584672.

Almost surely, 2^{2416540164208} 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 2416540164208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660636093560).

2416540164208 is an abundant number, since it is smaller than the sum of its proper divisors (2904732022912).

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

2416540164208 is a wasteful number, since it uses less digits than its factorization.

2416540164208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451035 (or 451012 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 2416540164208 in words is "two trillion, four hundred sixteen billion, five hundred forty million, one hundred sixty-four thousand, two hundred eight".