2609166400 has 63 divisors (see below), whose sum is σ = 6425211559. Its totient is φ = 1042849280.

The previous prime is 2609166311. The next prime is 2609166467. The reversal of 2609166400 is 46619062.

The square root of 2609166400 is 51080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 2608349184 = 904^2 + 51072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2042562 + ... + 2043838.

Almost surely, 2^2609166400 is an apocalyptic number.

2609166400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2609166400 is the 51080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609166400

2609166400 is an abundant number, since it is smaller than the sum of its proper divisors (3816045159).

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

2609166400 is an frugal number, since it uses more digits than its factorization.

2609166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 2609166400 is about 1376.6829244765.

The spelling of 2609166400 in words is "two billion, six hundred nine million, one hundred sixty-six thousand, four hundred".