2088753216 has 224 divisors, whose sum is σ = 6337499136. Its totient is φ = 601344000.

The previous prime is 2088753187. The next prime is 2088753221. The reversal of 2088753216 is 6123578802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3993531 + ... + 3994053.

Almost surely, 2^2088753216 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 2088753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168749568).

2088753216 is an abundant number, since it is smaller than the sum of its proper divisors (4248745920).

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

2088753216 is a wasteful number, since it uses less digits than its factorization.

2088753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2088753216 is about 45702.8797342137. The cubic root of 2088753216 is about 1278.2889768523.

The spelling of 2088753216 in words is "two billion, eighty-eight million, seven hundred fifty-three thousand, two hundred sixteen".