2611144032 has 144 divisors (see below), whose sum is σ = 8008197120. Its totient is φ = 729752832.

The previous prime is 2611144013. The next prime is 2611144097. The reversal of 2611144032 is 2304411162.

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

It is a junction number, because it is equal to n+sod(n) for n = 2611143993 and 2611144011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483569 + ... + 1485327.

It is an arithmetic number, because the mean of its divisors is an integer number (55612480).

Almost surely, 2^2611144032 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 2611144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004098560).

2611144032 is an abundant number, since it is smaller than the sum of its proper divisors (5397053088).

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

2611144032 is a wasteful number, since it uses less digits than its factorization.

2611144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2611144032 is about 51099.3545164711. The cubic root of 2611144032 is about 1377.0306580964.

Adding to 2611144032 its reverse (2304411162), we get a palindrome (4915555194).

The spelling of 2611144032 in words is "two billion, six hundred eleven million, one hundred forty-four thousand, thirty-two".