2092509216 has 144 divisors (see below), whose sum is σ = 7158715200. Its totient is φ = 566383104.

The previous prime is 2092509191. The next prime is 2092509247. The reversal of 2092509216 is 6129052902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 10990 + ... + 65618.

It is an arithmetic number, because the mean of its divisors is an integer number (49713300).

Almost surely, 2^2092509216 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 2092509216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579357600).

2092509216 is an abundant number, since it is smaller than the sum of its proper divisors (5066205984).

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

2092509216 is a wasteful number, since it uses less digits than its factorization.

2092509216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54671 (or 54660 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2092509216 is about 45743.9527806682. The cubic root of 2092509216 is about 1279.0547252674.

The spelling of 2092509216 in words is "two billion, ninety-two million, five hundred nine thousand, two hundred sixteen".