2011506144 has 24 divisors (see below), whose sum is σ = 5280203880. Its totient is φ = 670502016.

The previous prime is 2011506143. The next prime is 2011506173. The reversal of 2011506144 is 4416051102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011506143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10476499 + ... + 10476690.

It is an arithmetic number, because the mean of its divisors is an integer number (220008495).

Almost surely, 2^2011506144 is an apocalyptic number.

2011506144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011506144 is an abundant number, since it is smaller than the sum of its proper divisors (3268697736).

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

2011506144 is a wasteful number, since it uses less digits than its factorization.

2011506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20953202 (or 20953194 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2011506144 is about 44849.8176584922. The cubic root of 2011506144 is about 1262.3325700786.

Adding to 2011506144 its reverse (4416051102), we get a palindrome (6427557246).

The spelling of 2011506144 in words is "two billion, eleven million, five hundred six thousand, one hundred forty-four".