2011086144 has 280 divisors, whose sum is σ = 6319893888. Its totient is φ = 631065600.

The previous prime is 2011086109. The next prime is 2011086151. The reversal of 2011086144 is 4416801102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12042349 + ... + 12042515.

Almost surely, 2^2011086144 is an apocalyptic number.

2011086144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159946944).

2011086144 is an abundant number, since it is smaller than the sum of its proper divisors (4308807744).

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

2011086144 is a wasteful number, since it uses less digits than its factorization.

2011086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2011086144 is about 44845.1351207687. The cubic root of 2011086144 is about 1262.2447061355.

Adding to 2011086144 its reverse (4416801102), we get a palindrome (6427887246).

The spelling of 2011086144 in words is "two billion, eleven million, eighty-six thousand, one hundred forty-four".