2679405336 has 96 divisors (see below), whose sum is σ = 7515668160. Its totient is φ = 861771456.

The previous prime is 2679405329. The next prime is 2679405341. The reversal of 2679405336 is 6335049762.

2679405336 is a `hidden beast` number, since 2 + 6 + 79 + 40 + 533 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2679405291 and 2679405300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251755 + ... + 262181.

It is an arithmetic number, because the mean of its divisors is an integer number (78288210).

Almost surely, 2^2679405336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679405336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757834080).

2679405336 is an abundant number, since it is smaller than the sum of its proper divisors (4836262824).

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

2679405336 is a wasteful number, since it uses less digits than its factorization.

2679405336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10565 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 2679405336 is about 51762.9726348864. The cubic root of 2679405336 is about 1388.9271669318.

The spelling of 2679405336 in words is "two billion, six hundred seventy-nine million, four hundred five thousand, three hundred thirty-six".