2011006005210 has 48 divisors (see below), whose sum is σ = 5229095718600. Its totient is φ = 536219026560.

The previous prime is 2011006005199. The next prime is 2011006005241. The reversal of 2011006005210 is 125006001102.

2011006005210 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 0 + 600 + 52 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1113444929601 + 897561075609 = 1055199^2 + 947397^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34981 + ... + 2005800.

Almost surely, 2^{2011006005210} is an apocalyptic number.

2011006005210 is an abundant number, since it is smaller than the sum of its proper divisors (3218089713390).

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

2011006005210 is a wasteful number, since it uses less digits than its factorization.

2011006005210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051743 (or 2051740 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 2011006005210 in words is "two trillion, eleven billion, six million, five thousand, two hundred ten".