2679074560 has 144 divisors (see below), whose sum is σ = 6696732672. Its totient is φ = 1025740800.

The previous prime is 2679074483. The next prime is 2679074597. The reversal of 2679074560 is 654709762.

It is a self number, because there is not a number n which added to its sum of digits gives 2679074560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245445 + ... + 4246075.

It is an arithmetic number, because the mean of its divisors is an integer number (46505088).

Almost surely, 2^2679074560 is an apocalyptic number.

2679074560 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 2679074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348366336).

2679074560 is an abundant number, since it is smaller than the sum of its proper divisors (4017658112).

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

2679074560 is a wasteful number, since it uses less digits than its factorization.

2679074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 2679074560 is about 51759.7774338337. Note that the first 3 decimals coincide. The cubic root of 2679074560 is about 1388.8700096373.

The spelling of 2679074560 in words is "two billion, six hundred seventy-nine million, seventy-four thousand, five hundred sixty".