2184661440 has 672 divisors, whose sum is σ = 8787018240. Its totient is φ = 493903872.

The previous prime is 2184661403. The next prime is 2184661441. The reversal of 2184661440 is 441664812.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2184661395 and 2184661404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2184661441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37028131 + ... + 37028189.

It is an arithmetic number, because the mean of its divisors is an integer number (13075920).

Almost surely, 2^2184661440 is an apocalyptic number.

2184661440 is a gapful number since it is divisible by the number (20) 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 2184661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393509120).

2184661440 is an abundant number, since it is smaller than the sum of its proper divisors (6602356800).

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

2184661440 is a wasteful number, since it uses less digits than its factorization.

2184661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2184661440 is about 46740.3620011655. The cubic root of 2184661440 is about 1297.5617888536.

The spelling of 2184661440 in words is "two billion, one hundred eighty-four million, six hundred sixty-one thousand, four hundred forty".