2809126656 has 216 divisors, whose sum is σ = 9600782464. Its totient is φ = 802483200.

The previous prime is 2809126633. The next prime is 2809126657. The reversal of 2809126656 is 6566219082.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809126657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432231 + ... + 438681.

Almost surely, 2^2809126656 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 2809126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800391232).

2809126656 is an abundant number, since it is smaller than the sum of its proper divisors (6791655808).

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

2809126656 is an frugal number, since it uses more digits than its factorization.

2809126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2809126656 is about 53001.1948544559. The cubic root of 2809126656 is about 1410.9894729677.

The spelling of 2809126656 in words is "two billion, eight hundred nine million, one hundred twenty-six thousand, six hundred fifty-six".