2011001000004 has 36 divisors (see below), whose sum is σ = 5087211877020. Its totient is φ = 669826206720.

The previous prime is 2011001000003. The next prime is 2011001000011. The reversal of 2011001000004 is 4000001001102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1655365292100 + 355635707904 = 1286610^2 + 596352^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 2011001000004.

It is not an unprimeable number, because it can be changed into a prime (2011001000003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21095949 + ... + 21191060.

Almost surely, 2^{2011001000004} is an apocalyptic number.

It is an amenable number.

2011001000004 is an abundant number, since it is smaller than the sum of its proper divisors (3076210877016).

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

2011001000004 is a wasteful number, since it uses less digits than its factorization.

2011001000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42288340 (or 42288335 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2011001000004 its reverse (4000001001102), we get a palindrome (6011002001106).

The spelling of 2011001000004 in words is "two trillion, eleven billion, one million, four", and thus it is an aban number.