2679874560 has 528 divisors, whose sum is σ = 10760211072. Its totient is φ = 609484800.

The previous prime is 2679874537. The next prime is 2679874567. The reversal of 2679874560 is 654789762.

2679874560 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 2679874497 and 2679874506.

It is not an unprimeable number, because it can be changed into a prime (2679874567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8616805 + ... + 8617115.

Almost surely, 2^2679874560 is an apocalyptic number.

2679874560 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 2679874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380105536).

2679874560 is an abundant number, since it is smaller than the sum of its proper divisors (8080336512).

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

2679874560 is a wasteful number, since it uses less digits than its factorization.

2679874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2679874560 is about 51767.5048655042. The cubic root of 2679874560 is about 1389.0082396375.

The spelling of 2679874560 in words is "two billion, six hundred seventy-nine million, eight hundred seventy-four thousand, five hundred sixty".