2609656704 has 112 divisors (see below), whose sum is σ = 7795101120. Its totient is φ = 869854464.

The previous prime is 2609656703. The next prime is 2609656741. The reversal of 2609656704 is 4076569062.

It is a super-2 number, since 2×2609656704² = 13620616225464287232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2609656704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609656703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 79329 + ... + 107295.

Almost surely, 2^2609656704 is an apocalyptic number.

2609656704 is a gapful number since it is divisible by the number (24) 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 2609656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897550560).

2609656704 is an abundant number, since it is smaller than the sum of its proper divisors (5185444416).

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

2609656704 is an frugal number, since it uses more digits than its factorization.

2609656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27999 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2609656704 is about 51084.7991480832. The cubic root of 2609656704 is about 1376.7691526384.

The spelling of 2609656704 in words is "two billion, six hundred nine million, six hundred fifty-six thousand, seven hundred four".