2489610816 has 567 divisors, whose sum is σ = 9474786867. Its totient is φ = 646652160.

The previous prime is 2489610797. The next prime is 2489610829. The reversal of 2489610816 is 6180169842.

The square root of 2489610816 is 49896.

It is a perfect power (a square), and thus also a powerful number.

2489610816 is a `hidden beast` number, since 24 + 8 + 9 + 610 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

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 80 ways as a sum of consecutive naturals, for example, 226328251 + ... + 226328261.

Almost surely, 2^2489610816 is an apocalyptic number.

2489610816 is the 49896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2489610816

2489610816 is an abundant number, since it is smaller than the sum of its proper divisors (6985176051).

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

2489610816 is an frugal number, since it uses more digits than its factorization.

2489610816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The cubic root of 2489610816 is about 1355.3261590541.

The spelling of 2489610816 in words is "two billion, four hundred eighty-nine million, six hundred ten thousand, eight hundred sixteen".