2879724560 has 40 divisors (see below), whose sum is σ = 6705642240. Its totient is φ = 1150120832.

The previous prime is 2879724557. The next prime is 2879724583. The reversal of 2879724560 is 654279782.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2879724499 and 2879724508.

It is an unprimeable number.

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, 25409 + ... + 80031.

It is an arithmetic number, because the mean of its divisors is an integer number (167641056).

Almost surely, 2^2879724560 is an apocalyptic number.

2879724560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2879724560 is an abundant number, since it is smaller than the sum of its proper divisors (3825917680).

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

2879724560 is a wasteful number, since it uses less digits than its factorization.

2879724560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55295 (or 55289 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The square root of 2879724560 is about 53663.0651379513. The cubic root of 2879724560 is about 1422.7119633735.

The spelling of 2879724560 in words is "two billion, eight hundred seventy-nine million, seven hundred twenty-four thousand, five hundred sixty".