2782180480 has 64 divisors (see below), whose sum is σ = 6660977400. Its totient is φ = 1111228416.

The previous prime is 2782180477. The next prime is 2782180547. The reversal of 2782180480 is 840812872.

It can be written as a sum of positive squares in 4 ways, for example, as 2423002176 + 359178304 = 49224^2 + 18952^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489334 + ... + 494986.

Almost surely, 2^2782180480 is an apocalyptic number.

2782180480 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 2782180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330488700).

2782180480 is an abundant number, since it is smaller than the sum of its proper divisors (3878796920).

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

2782180480 is an equidigital number, since it uses as much as digits as its factorization.

2782180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 2782180480 is about 52746.3788330536. The cubic root of 2782180480 is about 1406.4633933813.

The spelling of 2782180480 in words is "two billion, seven hundred eighty-two million, one hundred eighty thousand, four hundred eighty".