2180409840 has 560 divisors, whose sum is σ = 8945112000. Its totient is φ = 493807104.

The previous prime is 2180409811. The next prime is 2180409857. The reversal of 2180409840 is 489040812.

2180409840 is digitally balanced in base 2 and base 4, because in such bases 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 (560).

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 = 2180409795 and 2180409804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20003706 + ... + 20003814.

Almost surely, 2^2180409840 is an apocalyptic number.

2180409840 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 2180409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472556000).

2180409840 is an abundant number, since it is smaller than the sum of its proper divisors (6764702160).

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

2180409840 is an equidigital number, since it uses as much as digits as its factorization.

2180409840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2180409840 is about 46694.8588176472. The cubic root of 2180409840 is about 1296.7195078801.

The spelling of 2180409840 in words is "two billion, one hundred eighty million, four hundred nine thousand, eight hundred forty".