2661341184 has 240 divisors, whose sum is σ = 8110262160. Its totient is φ = 869253120.

The previous prime is 2661341171. The next prime is 2661341197. The reversal of 2661341184 is 4811431662.

2661341184 is a `hidden beast` number, since 26 + 613 + 4 + 1 + 18 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2661341171) and next prime (2661341197).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10119037 + ... + 10119299.

It is an arithmetic number, because the mean of its divisors is an integer number (33792759).

Almost surely, 2^2661341184 is an apocalyptic number.

2661341184 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 2661341184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055131080).

2661341184 is an abundant number, since it is smaller than the sum of its proper divisors (5448920976).

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

2661341184 is an equidigital number, since it uses as much as digits as its factorization.

2661341184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2661341184 is about 51588.1884155666. The cubic root of 2661341184 is about 1385.7988126485.

The spelling of 2661341184 in words is "two billion, six hundred sixty-one million, three hundred forty-one thousand, one hundred eighty-four".