2840882560 has 64 divisors (see below), whose sum is σ = 6809540400. Its totient is φ = 1133332480.

The previous prime is 2840882519. The next prime is 2840882567. The reversal of 2840882560 is 652880482.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2840882560² = 16141227439424307200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2840882567) 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 7 ways as a sum of consecutive naturals, for example, 243255 + ... + 254665.

Almost surely, 2^2840882560 is an apocalyptic number.

2840882560 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 2840882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404770200).

2840882560 is an abundant number, since it is smaller than the sum of its proper divisors (3968657840).

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

2840882560 is a wasteful number, since it uses less digits than its factorization.

2840882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 2840882560 is about 53299.9302063333. The cubic root of 2840882560 is about 1416.2864284863.

The spelling of 2840882560 in words is "two billion, eight hundred forty million, eight hundred eighty-two thousand, five hundred sixty".