2401605012105 has 360 divisors, whose sum is σ = 5066756136000. Its totient is φ = 1048914966528.

The previous prime is 2401605012101. The next prime is 2401605012151. The reversal of 2401605012105 is 5012105061042.

2401605012105 is a `hidden beast` number, since 2 + 40 + 1 + 605 + 0 + 1 + 2 + 10 + 5 = 666.

It is not a de Polignac number, because 2401605012105 - 2² = 2401605012101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2401605012101) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 12068366796 + ... + 12068366994.

It is an arithmetic number, because the mean of its divisors is an integer number (14074322600).

Almost surely, 2^{2401605012105} is an apocalyptic number.

It is an amenable number.

2401605012105 is an abundant number, since it is smaller than the sum of its proper divisors (2665151123895).

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

2401605012105 is a wasteful number, since it uses less digits than its factorization.

2401605012105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 2401605012105 in words is "two trillion, four hundred one billion, six hundred five million, twelve thousand, one hundred five".