2089805760 has 336 divisors, whose sum is σ = 8573999616. Its totient is φ = 456800256.

The previous prime is 2089805749. The next prime is 2089805761. The reversal of 2089805760 is 675089802.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2089805760² = 8734576229058355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089805761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461427 + ... + 465933.

It is an arithmetic number, because the mean of its divisors is an integer number (25517856).

Almost surely, 2^2089805760 is an apocalyptic number.

2089805760 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 2089805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286999808).

2089805760 is an abundant number, since it is smaller than the sum of its proper divisors (6484193856).

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

2089805760 is a wasteful number, since it uses less digits than its factorization.

2089805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2089805760 is about 45714.3933570161. The cubic root of 2089805760 is about 1278.5036550711.

The spelling of 2089805760 in words is "two billion, eighty-nine million, eight hundred five thousand, seven hundred sixty".