2180905344 has 128 divisors (see below), whose sum is σ = 6515107200. Its totient is φ = 718115328.

The previous prime is 2180905339. The next prime is 2180905361. The reversal of 2180905344 is 4435090812.

2180905344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 2180905299 and 2180905308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283047 + ... + 290649.

It is an arithmetic number, because the mean of its divisors is an integer number (50899275).

Almost surely, 2^2180905344 is an apocalyptic number.

2180905344 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 2180905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257553600).

2180905344 is an abundant number, since it is smaller than the sum of its proper divisors (4334201856).

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

2180905344 is an equidigital number, since it uses as much as digits as its factorization.

2180905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2180905344 is about 46700.1642823663. The cubic root of 2180905344 is about 1296.8177281054.

The spelling of 2180905344 in words is "two billion, one hundred eighty million, nine hundred five thousand, three hundred forty-four".