2097841760 has 192 divisors, whose sum is σ = 5878656000. Its totient is φ = 692570112.

The previous prime is 2097841747. The next prime is 2097841777. The reversal of 2097841760 is 671487902.

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 31 ways as a sum of consecutive naturals, for example, 3501941 + ... + 3502539.

It is an arithmetic number, because the mean of its divisors is an integer number (30618000).

Almost surely, 2^2097841760 is an apocalyptic number.

2097841760 is a gapful number since it is divisible by the number (20) 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 2097841760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939328000).

2097841760 is an abundant number, since it is smaller than the sum of its proper divisors (3780814240).

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

2097841760 is a wasteful number, since it uses less digits than its factorization.

2097841760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 2097841760 is about 45802.2025671255. The cubic root of 2097841760 is about 1280.1403166488.

The spelling of 2097841760 in words is "two billion, ninety-seven million, eight hundred forty-one thousand, seven hundred sixty".