2149116816 has 120 divisors (see below), whose sum is σ = 6974400832. Its totient is φ = 558201600.

The previous prime is 2149116787. The next prime is 2149116839. The reversal of 2149116816 is 6186119412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14226 + ... + 67086.

Almost surely, 2^2149116816 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 2149116816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487200416).

2149116816 is an abundant number, since it is smaller than the sum of its proper divisors (4825284016).

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

2149116816 is a wasteful number, since it uses less digits than its factorization.

2149116816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52901 (or 52884 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 2149116816 is about 46358.5678812450. The cubic root of 2149116816 is about 1290.4861289028.

The spelling of 2149116816 in words is "two billion, one hundred forty-nine million, one hundred sixteen thousand, eight hundred sixteen".