2182740480 has 320 divisors, whose sum is σ = 8096267520. Its totient is φ = 556351488.

The previous prime is 2182740451. The next prime is 2182740529. The reversal of 2182740480 is 840472812.

It is a tau number, because it is divible by the number of its divisors (320).

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

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 31 ways as a sum of consecutive naturals, for example, 1589074 + ... + 1590446.

It is an arithmetic number, because the mean of its divisors is an integer number (25300836).

Almost surely, 2^2182740480 is an apocalyptic number.

2182740480 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 2182740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048133760).

2182740480 is an abundant number, since it is smaller than the sum of its proper divisors (5913527040).

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

2182740480 is a wasteful number, since it uses less digits than its factorization.

2182740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2182740480 is about 46719.8082187845. The cubic root of 2182740480 is about 1297.1813645049.

The spelling of 2182740480 in words is "two billion, one hundred eighty-two million, seven hundred forty thousand, four hundred eighty".