2611209216 has 528 divisors, whose sum is σ = 9408994560. Its totient is φ = 634798080.

The previous prime is 2611209173. The next prime is 2611209229. The reversal of 2611209216 is 6129021162.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31460311 + ... + 31460393.

Almost surely, 2^2611209216 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 2611209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704497280).

2611209216 is an abundant number, since it is smaller than the sum of its proper divisors (6797785344).

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

2611209216 is a wasteful number, since it uses less digits than its factorization.

2611209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2611209216 is about 51099.9923287665. The cubic root of 2611209216 is about 1377.0421166268.

The spelling of 2611209216 in words is "two billion, six hundred eleven million, two hundred nine thousand, two hundred sixteen".