2782932480 has 360 divisors, whose sum is σ = 10051809768. Its totient is φ = 711180288.

The previous prime is 2782932469. The next prime is 2782932547. The reversal of 2782932480 is 842392872.

2782932480 is a `hidden beast` number, since 2 + 7 + 82 + 93 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 52508134 + ... + 52508186.

Almost surely, 2^2782932480 is an apocalyptic number.

2782932480 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 2782932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025904884).

2782932480 is an abundant number, since it is smaller than the sum of its proper divisors (7268877288).

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

2782932480 is an equidigital number, since it uses as much as digits as its factorization.

2782932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2782932480 is about 52753.5068028657. The cubic root of 2782932480 is about 1406.5901003774.

The spelling of 2782932480 in words is "two billion, seven hundred eighty-two million, nine hundred thirty-two thousand, four hundred eighty".