2783478720 has 224 divisors, whose sum is σ = 10149108480. Its totient is φ = 639221760.

The previous prime is 2783478683. The next prime is 2783478727. The reversal of 2783478720 is 278743872.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2783478720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783478727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 193704 + ... + 207576.

It is an arithmetic number, because the mean of its divisors is an integer number (45308520).

Almost surely, 2^2783478720 is an apocalyptic number.

2783478720 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 2783478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074554240).

2783478720 is an abundant number, since it is smaller than the sum of its proper divisors (7365629760).

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

2783478720 is a wasteful number, since it uses less digits than its factorization.

2783478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The square root of 2783478720 is about 52758.6838349859. The cubic root of 2783478720 is about 1406.6821238715.

The spelling of 2783478720 in words is "two billion, seven hundred eighty-three million, four hundred seventy-eight thousand, seven hundred twenty".