2509857216 has 168 divisors, whose sum is σ = 7465795584. Its totient is φ = 805317120.

The previous prime is 2509857209. The next prime is 2509857277. The reversal of 2509857216 is 6127589052.

It is a congruent number.

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, 6552961 + ... + 6553343.

Almost surely, 2^2509857216 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 2509857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732897792).

2509857216 is an abundant number, since it is smaller than the sum of its proper divisors (4955938368).

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

2509857216 is a wasteful number, since it uses less digits than its factorization.

2509857216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2509857216 is about 50098.4751863767. The cubic root of 2509857216 is about 1358.9902423982.

The spelling of 2509857216 in words is "two billion, five hundred nine million, eight hundred fifty-seven thousand, two hundred sixteen".