2780080128 has 288 divisors, whose sum is σ = 9505641600. Its totient is φ = 765886464.

The previous prime is 2780080109. The next prime is 2780080139. The reversal of 2780080128 is 8210800872.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2780080092 and 2780080101.

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 23 ways as a sum of consecutive naturals, for example, 3741325 + ... + 3742067.

It is an arithmetic number, because the mean of its divisors is an integer number (33005700).

Almost surely, 2^2780080128 is an apocalyptic number.

2780080128 is a gapful number since it is divisible by the number (28) 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 2780080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752820800).

2780080128 is an abundant number, since it is smaller than the sum of its proper divisors (6725561472).

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

2780080128 is a wasteful number, since it uses less digits than its factorization.

2780080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2780080128 is about 52726.4651574520. The cubic root of 2780080128 is about 1406.1093770613.

The spelling of 2780080128 in words is "two billion, seven hundred eighty million, eighty thousand, one hundred twenty-eight".