2605669164 has 144 divisors (see below), whose sum is σ = 7804532736. Its totient is φ = 717292800.

The previous prime is 2605669153. The next prime is 2605669181. The reversal of 2605669164 is 4619665062.

2605669164 is a `hidden beast` number, since 26 + 0 + 566 + 9 + 1 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2194579 + ... + 2195765.

It is an arithmetic number, because the mean of its divisors is an integer number (54198144).

Almost surely, 2^2605669164 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 2605669164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902266368).

2605669164 is an abundant number, since it is smaller than the sum of its proper divisors (5198863572).

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

2605669164 is a wasteful number, since it uses less digits than its factorization.

2605669164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2605669164 is about 51045.7555924094. The cubic root of 2605669164 is about 1376.0675634697.

The spelling of 2605669164 in words is "two billion, six hundred five million, six hundred sixty-nine thousand, one hundred sixty-four".