2784798720 has 576 divisors, whose sum is σ = 10946819520. Its totient is φ = 648806400.

The previous prime is 2784798719. The next prime is 2784798733. The reversal of 2784798720 is 278974872.

2784798720 is a `hidden beast` number, since 2 + 78 + 479 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×2784798720³ (a number of 29 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 41564127 + ... + 41564193.

It is an arithmetic number, because the mean of its divisors is an integer number (19004895).

Almost surely, 2^2784798720 is an apocalyptic number.

2784798720 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 2784798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473409760).

2784798720 is an abundant number, since it is smaller than the sum of its proper divisors (8162020800).

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

2784798720 is a wasteful number, since it uses less digits than its factorization.

2784798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 2784798720 is about 52771.1921411673. The cubic root of 2784798720 is about 1406.9044508167.

The spelling of 2784798720 in words is "two billion, seven hundred eighty-four million, seven hundred ninety-eight thousand, seven hundred twenty".