2840561280 has 192 divisors, whose sum is σ = 10386160200. Its totient is φ = 712900608.

The previous prime is 2840561267. The next prime is 2840561287. The reversal of 2840561280 is 821650482.

It can be written as a sum of positive squares in 4 ways, for example, as 2116736064 + 723825216 = 46008^2 + 26904^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (2840561287) 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 23 ways as a sum of consecutive naturals, for example, 83416 + ... + 112424.

Almost surely, 2^2840561280 is an apocalyptic number.

2840561280 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 2840561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193080100).

2840561280 is an abundant number, since it is smaller than the sum of its proper divisors (7545598920).

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

2840561280 is a wasteful number, since it uses less digits than its factorization.

2840561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29051 (or 29036 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2840561280 is about 53296.9162334933. The cubic root of 2840561280 is about 1416.2330364332.

The spelling of 2840561280 in words is "two billion, eight hundred forty million, five hundred sixty-one thousand, two hundred eighty".