2881564680 has 64 divisors (see below), whose sum is σ = 8676691200. Its totient is φ = 765573120.

The previous prime is 2881564663. The next prime is 2881564709. The reversal of 2881564680 is 864651882.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 11785 + ... + 76824.

It is an arithmetic number, because the mean of its divisors is an integer number (135573300).

Almost surely, 2^2881564680 is an apocalyptic number.

2881564680 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 2881564680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338345600).

2881564680 is an abundant number, since it is smaller than the sum of its proper divisors (5795126520).

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

2881564680 is a wasteful number, since it uses less digits than its factorization.

2881564680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88894 (or 88890 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 2881564680 is about 53680.2075256793. The cubic root of 2881564680 is about 1423.0149325479.

The spelling of 2881564680 in words is "two billion, eight hundred eighty-one million, five hundred sixty-four thousand, six hundred eighty".