2408205213162 has 192 divisors, whose sum is σ = 6697012608000. Its totient is φ = 608816632320.

The previous prime is 2408205213137. The next prime is 2408205213173. The reversal of 2408205213162 is 2613125028042.

2408205213162 is a `hidden beast` number, since 2 + 40 + 8 + 2 + 0 + 521 + 31 + 62 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5105589 + ... + 5557287.

It is an arithmetic number, because the mean of its divisors is an integer number (34880274000).

Almost surely, 2^{2408205213162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408205213162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348506304000).

2408205213162 is an abundant number, since it is smaller than the sum of its proper divisors (4288807394838).

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

2408205213162 is a wasteful number, since it uses less digits than its factorization.

2408205213162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451881 (or 451878 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2408205213162 in words is "two trillion, four hundred eight billion, two hundred five million, two hundred thirteen thousand, one hundred sixty-two".