2005211946402 has 384 divisors, whose sum is σ = 5606583091200. Its totient is φ = 524096179200.

The previous prime is 2005211946383. The next prime is 2005211946407. The reversal of 2005211946402 is 2046491125002.

It is a happy number.

2005211946402 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 2 + 1 + 1 + 9 + 4 + 640 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2005211946407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 405009027 + ... + 405013977.

It is an arithmetic number, because the mean of its divisors is an integer number (14600476800).

Almost surely, 2^{2005211946402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005211946402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803291545600).

2005211946402 is an abundant number, since it is smaller than the sum of its proper divisors (3601371144798).

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

2005211946402 is a wasteful number, since it uses less digits than its factorization.

2005211946402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2005211946402 in words is "two trillion, five billion, two hundred eleven million, nine hundred forty-six thousand, four hundred two".