2780547840 has 648 divisors, whose sum is σ = 11664682848. Its totient is φ = 598671360.

The previous prime is 2780547839. The next prime is 2780547841. The reversal of 2780547840 is 487450872.

2780547840 is a `hidden beast` number, since 27 + 8 + 0 + 547 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2780547839) and next prime (2780547841).

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

It is not an unprimeable number, because it can be changed into a prime (2780547841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67818220 + ... + 67818260.

Almost surely, 2^2780547840 is an apocalyptic number.

2780547840 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 2780547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832341424).

2780547840 is an abundant number, since it is smaller than the sum of its proper divisors (8884135008).

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

2780547840 is a wasteful number, since it uses less digits than its factorization.

2780547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2780547840 is about 52730.9002388543. The cubic root of 2780547840 is about 1406.1882257901.

The spelling of 2780547840 in words is "two billion, seven hundred eighty million, five hundred forty-seven thousand, eight hundred forty".