2609836416 has 288 divisors, whose sum is σ = 8575068600. Its totient is φ = 780848640.

The previous prime is 2609836391. The next prime is 2609836459. The reversal of 2609836416 is 6146389062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2609836416 is a `hidden beast` number, since 2 + 609 + 8 + 36 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2609836416² = 13622492236559450112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33035865 + ... + 33035943.

Almost surely, 2^2609836416 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 2609836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287534300).

2609836416 is an abundant number, since it is smaller than the sum of its proper divisors (5965232184).

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

2609836416 is an equidigital number, since it uses as much as digits as its factorization.

2609836416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2609836416 is about 51086.5580754860. The cubic root of 2609836416 is about 1376.8007552956.

The spelling of 2609836416 in words is "two billion, six hundred nine million, eight hundred thirty-six thousand, four hundred sixteen".