2081505888 has 648 divisors, whose sum is σ = 8046655344. Its totient is φ = 507386880.

The previous prime is 2081505883. The next prime is 2081505889. The reversal of 2081505888 is 8885051802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081505883) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 39273670 + ... + 39273722.

It is an arithmetic number, because the mean of its divisors is an integer number (12417678).

Almost surely, 2^2081505888 is an apocalyptic number.

2081505888 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 2081505888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023327672).

2081505888 is an abundant number, since it is smaller than the sum of its proper divisors (5965149456).

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

2081505888 is a wasteful number, since it uses less digits than its factorization.

2081505888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The square root of 2081505888 is about 45623.5234062430. The cubic root of 2081505888 is about 1276.8088411207.

The spelling of 2081505888 in words is "two billion, eighty-one million, five hundred five thousand, eight hundred eighty-eight".