2011013004 has 384 divisors, whose sum is σ = 6827950080. Its totient is φ = 443520000.

The previous prime is 2011012987. The next prime is 2011013023. The reversal of 2011013004 is 4003101102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8011879 + ... + 8012129.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 2^2011013004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011013004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413975040).

2011013004 is an abundant number, since it is smaller than the sum of its proper divisors (4816937076).

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

2011013004 is a wasteful number, since it uses less digits than its factorization.

2011013004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011013004 is about 44844.3196402844. The cubic root of 2011013004 is about 1262.2294040068.

Adding to 2011013004 its reverse (4003101102), we get a palindrome (6014114106).

The spelling of 2011013004 in words is "two billion, eleven million, thirteen thousand, four".