2081757888 has 224 divisors, whose sum is σ = 7115251200. Its totient is φ = 584506368.

The previous prime is 2081757869. The next prime is 2081757893. The reversal of 2081757888 is 8887571802.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 712206 + ... + 715122.

Almost surely, 2^2081757888 is an apocalyptic number.

2081757888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081757888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557625600).

2081757888 is an abundant number, since it is smaller than the sum of its proper divisors (5033493312).

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

2081757888 is a wasteful number, since it uses less digits than its factorization.

2081757888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The square root of 2081757888 is about 45626.2850558754. The cubic root of 2081757888 is about 1276.8603651713.

The spelling of 2081757888 in words is "two billion, eighty-one million, seven hundred fifty-seven thousand, eight hundred eighty-eight".