2679209505 has 72 divisors (see below), whose sum is σ = 5420616552. Its totient is φ = 1220599296.

The previous prime is 2679209501. The next prime is 2679209509. The reversal of 2679209505 is 5059029762.

It is an interprime number because it is at equal distance from previous prime (2679209501) and next prime (2679209509).

It can be written as a sum of positive squares in 4 ways, for example, as 27783441 + 2651426064 = 5271^2 + 51492^2 .

It is not a de Polignac number, because 2679209505 - 2² = 2679209501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2679209501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 697069 + ... + 700901.

It is an arithmetic number, because the mean of its divisors is an integer number (75286341).

Almost surely, 2^2679209505 is an apocalyptic number.

It is an amenable number.

2679209505 is an abundant number, since it is smaller than the sum of its proper divisors (2741407047).

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

2679209505 is a wasteful number, since it uses less digits than its factorization.

2679209505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 2679209505 is about 51761.0809875528. The cubic root of 2679209505 is about 1388.8933283757.

The spelling of 2679209505 in words is "two billion, six hundred seventy-nine million, two hundred nine thousand, five hundred five".