2180381280 has 576 divisors, whose sum is σ = 8957620224. Its totient is φ = 435916800.

The previous prime is 2180381243. The next prime is 2180381293. The reversal of 2180381280 is 821830812.

2180381280 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 Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12603274 + ... + 12603446.

It is an arithmetic number, because the mean of its divisors is an integer number (15551424).

Almost surely, 2^2180381280 is an apocalyptic number.

2180381280 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 2180381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478810112).

2180381280 is an abundant number, since it is smaller than the sum of its proper divisors (6777238944).

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

2180381280 is a wasteful number, since it uses less digits than its factorization.

2180381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2180381280 is about 46694.5530013941. The cubic root of 2180381280 is about 1296.7138461814.

The spelling of 2180381280 in words is "two billion, one hundred eighty million, three hundred eighty-one thousand, two hundred eighty".